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Geometrija v prostoru - banka nalog

Total questions: 149

Worksheet time: 12hrs 38mins

Name
Class
Date
1.

Katero telo je na sliki?

a)

valj

b)

krogla

c)

stožec

d)

4-strana piramida

e)

4-strana prizma

2.

Katero telo je na sliki?

a)

3-strana piramida

b)

3-strana prizma

c)

valj

d)

stožec

e)

kocka

3.

Višina prizme je ...

a)

dolžina telesne diagonale

b)

vsota dolžine vseh robov

c)

dolžina najdaljšega roba

d)

razdalja med poljubnima sosednjima ogliščema

e)

razdalja med ravninama osnovnih ploskev

4.

Označi pravilne trditve.

a)

6-strana prizma ima 8 mejnih ploskev.

b)

3-strana prizma ima 4 stranske ploskve.

c)

Prizma ima 2 osnovni ploskvi.

d)

4-strana prizma ima 4 osnovne ploskve.

5.

Osni presek pokončnega stožca je ...

a)

enakokraki trikotnik

b)

enakostraničen trikotnik

c)

pravokotnik

d)

kvadrat

6.

Mreža katerega telesa je prikazana na sliki?

a)

pravilne 6-strane piramide

b)

pravilne 6-strane prizme

c)

stožca

d)

Iz mreže ne moremo sestaviti telesa.

7.

Ako je površina lopte 36πcm236\pi cm^2  ,zapremina je 

a)

36πcm336\pi cm^3  

b)

18πcm318\pi cm^3  

c)

15πcm215\pi cm^2  

d)

10πcm310\pi cm^3  

8.

Tri podudarne kocke su složene tako da je dobijen kvadar površine 126cm2126cm^2  .Zapremina tog kvadra je:

a)

27cm327cm^3  

b)

81cm381cm^3  

c)

100cm3100cm^3  

d)

90cm390cm^3  

9.

Omotač pravilne četvorostrane piramide je 60cm260cm^2  .Ako je odnos osnovne ivice prema visini piramide 3:2, onda je zapremina te piramide

a)

48cm348cm^3  

b)

36cm336cm^3  

c)

40cm340cm^3  

d)

100cm3100cm^3  

10.

Polumjer osnovke stošca i izvodnica stošca odnose se kao 4 : 5. Izračunaj oplošje stošca ako je obujam 128π cm³ . POMOĆ:  rs=455r=4s\frac{r}{s}=\frac{4}{5}\rightarrow5r=4s  

a)

288π cm²

b)

144π cm²

c)

132π cm²

d)

216πcm²

11.

Izračunaj visinu valjka ako je O= 360πcm2360\pi cm^2  , polumjer baze r=9cm.
UPUTA: Rješenje zapiši bez mjerne jedinice.

(a)  

12.

Izračunaj duljinu izvodnice stošca ako je zadan površina plašta P= 65πcm265\pi cm^2  , polumjer r= 5cm.
UPUTA:Rješenje zapiši bez mjerne jedinice.

(a)  

13.

Na slici je:

a)

šesterostrana piramida

b)

peterostrana piramida

c)

peterostrana prizma

d)

šesterostrana prizma

14.

Na slici je:

a)

šesterostrana piramida

b)

peterostrana piramida

c)

peterostrana prizma

d)

šesterostrana prizma

15.

Na slici je

a)

tetraedar

b)

heksaedar

c)

oktaedar

d)

dodekaedar

16.

Ako je dužina ivice kocke a=2 3a=2\ \sqrt[]{3}   onda je dužina dijagonale d=

(a)  

17.

Dužina ivice jednakoivične četvorostrane piramide a= 3 23\ \sqrt[]{2}   , onda je dužina visine H=

(a)  

18.
What is the volume of the cone in terms of pi?
a)
4.5π in3
b)
18π in3
c)
9π in3
d)
27π in3
19.
find the volume of this figure?
a)
190cm3
b)
200cm3
c)
140cm3
d)
192cm3
20.
 Find the volume of the solid shown in the figure? Rounded to the nearest 1s place.
a)
7230
b)
6621
c)
1130
d)
907
21.
 Find the volume of the solid shown in the figure? Rounded to the nearest 1s place.
a)
7230
b)
6621
c)
1130
d)
907
22.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
23.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
24.
Find the volume of the sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π. 
a)
310.2 cm3
b)
379.2 cm3
c)
240.8 cm3
d)
456  cm3
25.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
a)
320.4 in3
b)
314 in3
c)
205.5 in3
d)
267.4 in3
26.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
a)
320.4 in3
b)
314 in3
c)
205.5 in3
d)
267.4 in3
27.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
28.
a)
V = 1800 mm3
b)
V = 600 mm3
c)
V = 900 mm3
d)
V = 1200 mm3
29.
Find the volume of the figure in terms of π.  Round your answer to the nearest hundredth.
a)
366.17π in3
b)
274.63π in3
c)
1150.3 in3
d)
183.08π in3
30.
What is the approximate composite volume of both the cone and the cylinder?  
Round your answer to the nearest hundredth.
a)
2,261.95 m3
b)
1,734.16 m3
c)
1,507.96 m3
d)
720 m3
31.
Find the volume of the composite solid.
a)
about 19 ft3
b)
about 24 ft3
c)
about 29 ft3
d)
about 34 ft3
32.
What is the volume of the cone?
a)
about 181 in3
b)
about 191 in3
c)
about 201 in3
d)
about 211 in3
33.
A square pyramid is covered with decorative wrapping paper with no overlap.  The net of the box is shown on the right.  How many square centimeters of wrapping paper are needed to cover the surfaces of the box? 
a)
108 cm2
b)
324 cm2
c)
180 cm2
d)
432 cm2
34.

What is the surface area of the rectangular pyramid whose net is shown?

a)

400 in2

b)

800 in2

c)

1,200 in2

d)

1,600 in2

35.
Find the surface area of the square pyramid.
a)
429 sq. cm
b)
389 sq. cm
c)
441 sq.cm
d)
377 sq. cm
36.
What is the surface are if you were to wrap this square pyramid?
a)
23 sq. meters
b)
27 sq. meters
c)
33 sq. meters
d)
36 sq. meters
37.

Ms. Aguas is making a rectangular box with measurements as shown below. What is the surface area of the box?

a)

24 inches squared

b)

96 inches squared

c)

128 inches squared

d)

144 inches squared

38.

Find the surface area of the triangular prism.

a)

228 cm2

b)

170 cm2

c)

304 cm2

d)

328 cm

39.

What is the volume of this rectangular prism?

a)

30 cu ft

b)

36 cu ft

c)

12 cu ft

d)

11 cu ft

40.

What is the volume of this rectangular prism?

a)

20 cu in

b)

9 cu in

c)

25 cu in

d)

20 cu cm

41.

Lucia has a triangular prism that has a length of 6 cm, a width of 4 cm, and a height of 8cm. What is the volume?

a)

96cm³

b)

54cm³

c)

80cm³

d)

24cm³

42.
Find the volume of this triangular prism.
a)
1440 cm3
b)
60 cm3
c)
720 cm3
d)
180 cm3
43.
Find the volume of the composite solid.
a)
about 19 ft3
b)
about 24 ft3
c)
about 29 ft3
d)
about 34 ft3
44.
When a sphere has a volume of 972π, what is the radius of the sphere?
a)
9
b)
7
c)
18
d)
21
45.

Find the volume of the figure. Round to the nearest whole number.

a)

317 units³

b)

635 units³

c)

952 units³

d)

890 units³

46.

The Great Pyramid of Giza in Egypt is 455 feet tall with a regular base whose edge measures 756 feet. What is it's approximate volume?

a)

52 million square feet

b)

87 million square feet

c)

99 million square feet

d)

260 million square feet

47.
A cone has a volume of 12π, and a radius of 2, what is the height?
a)
9
b)
12
c)
2
d)
3
48.
Which of the measurements from the prism will you NOT use to calculate the volume?
a)
6 ft
b)
8 ft
c)
10  ft
d)
12 ft
49.

Calculate the volume of the pyramid.

a)

120 ft3

b)

96 ft3

c)

288 ft3

d)

192 ft3

50.

Calculate the volume of the pyramid.

a)

10 m3

b)

30 m3

c)

60 m3

d)

25 m3

51.

Find the volume.

a)

240 cm3

b)

1440 cm3

c)

720 cm3

d)

480 cm3

52.

A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold? If necessary, round to the nearest whole number.

a)

1286 in3

b)

1455 in3

c)

1476 in3

d)

1569 in3

53.

The figure shown below is composed of a rectangular prism and two half cylinders. Which is closest to the volume of the figure? If necessary, round to the nearest whole number.

a)

781 cm3

b)

706 cm3

c)

631 cm3

d)

593 cm3

54.
v = ?
a)
2,144.66 m3
b)
1,608.49 m3
c)
536.17 m3
d)
498.62 m3
55.
Find the volume.
a)
160
b)
80
c)
240
d)
800
56.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
952 units³
c)
1,904 units³
d)
890 units³
57.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
58.
On a trip to Oregon, Sabrina bought a small stone in the shape of a square pyramid as a souvenir. Determine the volume of the stone. Round to the nearest tenth. 
a)
4.5 in ³
b)
6 in ³
c)
6.75 in ³
d)
1.5 in ³
59.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
60.

Find the volume. Round to the nearest tenth.

a)

6107.2 ft3

b)

2,045.8 ft2

c)

2,035.8 ft3

d)

6104.2 ft3

61.

Find the volume.

a)

12 cm3

b)

12 cm2

c)

4 cm3

d)

Not enough information

62.
What is the name of this 3D solid?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Square Prism
d)
Square Pyramid 
63.
What is the name of this 3D solid?
a)
Triangular Pyramid
b)
Triangular Prism
c)
Triangular Proton
d)
Square Base Triangle
64.
Name the figure:
a)
Triangular Prism
b)
Triangle
c)
Triangular pyramid
d)
Square Pyramid
65.
Find the Volume of the composite figure.
a)
2400 ft3
b)
1920 ft3
c)
4128 ft3
d)
2112 ft3
66.
Volume = ?
a)
1,356 m3
b)
1,734 m3
c)
377 m3
d)
590 m3
67.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
68.
Julie uses a tent like the one shown to go camping with friends. The tent is 7 feet tall, 10 feet wide and 12 feet long. Calculate the volume.
a)
840 cubic feet
b)
84 cubic feet
c)
420 cubic feet
d)
120 cubic feet
69.

What is the surface area of the cylinder to the nearest square inch?

a)

625 in2

b)

1300 in2

c)

1046 in2

d)

414 in2

70.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
71.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
72.
a)
900
b)
100
c)
300
d)
348
73.
A triangular pyramid has a base with an area of 9cm2. Each lateral face has a base of 5cm and a height of 4cm. Find the total surface area.
a)
29cm2
b)
69cm2
c)
40cm2
d)
39cm2
74.

What is the base of the pyramid (triangle)?

a)

22.5 in2

b)

45 in2

c)

90 in2

d)

50 in2

75.

What is the volume of the pyramid?

a)

75 in3

b)

225 in3

c)

150 in3

d)

37.5 in3

76.

What is the volume of the cone?

a)

51.313 in3

b)

28 in3

c)

21.642 in3

d)

102.626 in3

77.

What is the area of the base (pentagon)?

a)

33 cm2

b)

66 cm2

c)

99 cm2

d)

48 cm2

78.

What is the volume of the pyramid?

a)

132 cm3

b)

264 cm3

c)

36 cm3

d)

242 cm3

79.

What is the radius of the base of the cone?

a)

3.73 cm

b)

4 cm

c)

1.725 cm

d)

4.213 cm

80.

What is the volume of the cone?

a)

168.141 cm3

b)

134.141 cm3

c)

178.24 cm3

d)

242.21 cm3

81.

What is the base area of the pyramid?

a)

121 in2

b)

165 in2

c)

100 in2

d)

242 in2

82.

What is the volume of the pyramid?

a)

605 in3

b)

165 in3

c)

1815 in3

d)

455 in3

83.

What is the total surface area of the cylinder?

a)

288π in2288\pi\ in^2

b)

414π in2414\pi\ in^2

c)

207π in2207\pi\ in^2

d)

313π in2313\pi\ in^2

84.
Find the volume.
a)
182.6 yd3
b)
2739 yd 3
c)
913 yd3
d)
1826 yd3
85.

THROW BACK:

Which figure will this net make?

a)

Cube

b)

Hexagonal Pyramid

c)

Octagonal Pyramid

d)

Cone

86.

THROW BACK:

What 3D solid does this net create?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Square Pyramid

d)

Square Prism

87.

Find the surface area of a square pyramid with base length 5 and slant height 8.

a)

185 in2

b)

105 in2

c)

92.5 in2

d)

80 in2

88.
What is the total surface area of the cylinder to the nearest square inch
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
89.
Find the Surface Area
a)
15m2
b)
16m2
c)
18m2
d)
20m2
90.
Find the surface area of the square pyramid.
a)
429 sq. cm
b)
389 sq. cm
c)
441 sq.cm
d)
377 sq. cm
91.
What is the surface are if you were to wrap this square pyramid?
a)
23 sq. meters
b)
27 sq. meters
c)
33 sq. meters
d)
36 sq. meters
92.
What is the surface area of this square pyramid?
a)
70.1 sq. centimeters
b)
78.9 sq. centimeters
c)
84.5 sq. centimeters
d)
81.9 sq. centimeters
93.
Find the surface area of the square pyramid.
a)
15 square meters
b)
39 square meters
c)
69 square meters
d)
30 square meters
94.
Find the surface area of the square pyramid.
a)
645 square centimeters
b)
435 square centimeters
c)
210 square centimeters
d)
330 square centimeters
95.
Find the surface area of the square pyramid.
a)
320 square inches
b)
704 square inches
c)
224 square inches
d)
384 square inches
96.
What is the volume of the following triangular prism?
a)
1120 cubic ft
b)
373.3 cubic ft
c)
560 cubic ft
d)
186.6 cubic ft
97.
Find the volume.
a)
240
b)
1440
c)
144
d)
480
98.

Find the surface area

a)

1276.3m2

b)

824.7m2

c)

1649.3m2

d)

3534.3m2

99.

A paper party hat, like the one shown, has a slant height of 6 inches and a radius of 5 inches. How many square inches of cardboard would be needed to create this hat?

a)

94.25 in.2

b)

172.79 in.2

c)

50 in.2

d)

22.5 in.2

100.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
101.
Find the surface area of the trapezoidal prism
a)
214.94 cm squared
b)
267.44 cm squared
c)
322.84 cm squared
d)
115.92 cm squared
102.
What is the total surface area of the rectangular pyramid whose net is shown?
a)
400 in2
b)
800 in2
c)
1,200 in2
d)
1,600 in2
103.

Find the volume of the hexagonal prism. The base area is given.

(a)  

104.

What is the surface area of the tent?
Note: The base is the triangle
Recall:  SA = (Perimeter of base)(H)+2(base area)SA\ =\ \left(Perimeter\ of\ base\right)\left(H\right)+2\left(base\ area\right)  

(a)  

105.
Which figure will this net make?
a)
Triangular Pyramid
b)
Hexagonal Pyramid
c)
Octagonal Pyramid 
d)
Cube
106.
Which figure will this net make?
a)
Hexagonal Prism
b)
Triangular Prism
c)
Octagonal Prism
d)
Cone
107.
Which figure will this net make?
a)
Cone
b)
Triangular Prism
c)
Square Pyramid 
d)
Cube
108.
Which figure will this net make?
a)
Rectangular Prism 
b)
Triangular Prism
c)
Triangular Pyramid 
d)
Cube
109.
Which figure will this net make?
a)
Rectangular Prism 
b)
Triangular Prism
c)
Triangular Pyramid 
d)
Cube
110.
Which net will make a triangular pyramid?
a)
Net A
b)
Net B
c)
Net C
111.
Which net will make a square pyramid?
a)
Net A
b)
Net B
c)
Net C
112.
a)
Cylinder
b)
Cube 
c)
Triangular Prism 
d)
Cone 
113.
a)
Triangular Prism
b)
Rectangular Prism
c)
Cone
d)
Triangular Pyramid
114.
a)
Rectangular Prism
b)
Triangular Prism
c)
Triangular Pyramid
d)
Rectangular Pyramid
115.
Calculate the composite surface area of the figure.
a)
80 cm2
b)
72 cm2
c)
52 cm2
d)
42 cm2
116.
Calculate the composite surface area of the square pyramid on top of the square prism.
a)
8160 cm2
b)
2400 cm2
c)
3456 cm2
d)
2304 cm2
117.
Calculate the composite surface area of the figure.
a)
80 cm2
b)
72 cm2
c)
52 cm2
d)
42 cm2
118.

Identify the 3D shape.

a)

Prism

b)

Cylinder

c)

Cone

d)

Pyramid

e)

Sphere

119.

Identify the 3D shape.

a)

Prism

b)

Cylinder

c)

Cone

d)

Pyramid

e)

Sphere

120.

Identify the 3D shape.

a)

Prism

b)

Cylinder

c)

Cone

d)

Pyramid

e)

Sphere

121.

Identify the 3D shape.

a)

Prism

b)

Cylinder

c)

Cone

d)

Pyramid

e)

Sphere

122.

Identify the 3D shape.

a)

Prism

b)

Cylinder

c)

Cone

d)

Pyramid

e)

Sphere

123.

What 3D solid does this net make?

a)

Cone

b)

Tetrahedron

c)

Cylinder

d)

Square-based Pyramid

124.

What is the total surface area of the pyramid? Round to the nearest hundredth.

a)

1,024.01 square units

b)

809.54 square units

c)

1,065.54 square units

d)

1,179.02 square units

125.

An oblique cylinder has a radius of 10 units and slant length of 26 units. What is the volume of the cylinder?

a)

2,400π cubic units

b)

2,500π cubic units

c)

2,600π cubic units

d)

2,700π cubic units

126.

A regular hexagon is shown. What is the length of the apothem, rounded to the nearest inch? Recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon.

a)

4 in.

b)

5 in.

c)

9 in.

d)

11 in.

127.

The regular octagon has a perimeter of 122.4 cm. Which statements about the octagon are true?

a)

The length of segment YZ is 15.3 cm. The measure of the angle formed by the radius and the apothem is 30°.

b)

The measure of the angle formed by the radius and the apothem is 30°. The length of segment XY can be found by solving for a in 202 – 7.652 = a2.

c)

The length of segment XY can be found by solving for a in 202 – 7.652 = a2. The measure of the central angle, ∠ZXW, is 45°.

d)

The measure of the central angle, ∠ZXW, is 45°.The length of segment WZ is 20 cm.

128.

What is the name of this solid?

a)

triangular pyramid

b)

rectangular pyramid

c)

rectangular prism

d)

triangular prism

129.
What is the name of this 3D solid?
a)
Hexagonal Prism
b)
Hexagonal Pyramid
c)
Pentagonal Pyramid
d)
Pentagonal Prism
130.

What is the name of this 3D solid?

a)

Square Pyramid

b)

Hexagonal Pyramid

c)

Triangular Pyramid

d)

Triangular Prism

131.
This is a...
a)
pentagonal prism
b)
rectangular prism
c)
pentagonal pyramid
d)
hexagonal prism
132.

Solve for lateral surface area?a

a)

3,780 ft²

b)

945 ft²

c)

1,170 ft²

d)

855 ft²

133.

The regular octagon has a perimeter of 122.4 cm. Which statements about the octagon are true?

a)

The length of segment YZ is 15.3 cm. The measure of the angle formed by the radius and the apothem is 30°.

b)

The measure of the angle formed by the radius and the apothem is 30°. The length of segment XY can be found by solving for a in 202 – 7.652 = a2.

c)

The length of segment XY can be found by solving for a in 202 – 7.652 = a2. The measure of the central angle, ∠ZXW, is 45°.

d)

The measure of the central angle, ∠ZXW, is 45°.The length of segment WZ is 20 cm.

134.

A fish tank is an example of a ________

a)

rectangular pyramid

b)

rectangular prism

c)

square prism

d)

sphere

135.

Which 2-D shape could be revolved about the vertical line to create the 3-D solid?

a)
b)
c)
d)
136.

What 3-D solid is formed when this rectangle is rotated about the vertical line?

a)

Right, rectangular prism

b)

Right, circular cylinder

c)

Right, oval cylinder

d)

Right, square prism

137.

Which 3-D solid is created when the rectangle is rotated about the horizontal line?

a)
b)
c)
d)
138.
What is the name of this 3D solid?
a)
Hexagonal Prism
b)
Hexagonal Pyramid
c)
Pentagonal Pyramid
d)
Pentagonal Prism
139.
What is the name of this 3D solid?
a)
Hexagonal Prism
b)
Hexagonal Pyramid
c)
Pentagonal Pyramid
d)
Pentagonal Prism
140.
What is the name of this 3D solid?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Square Prism
d)
Square Pyramid 
141.
What is the name of this 3D solid?
a)
Hexagonal Prism
b)
Pentagonal Prism
c)
Octogonal Pyramid
d)
Heptagonal Pyramid
142.

Select the 2D object that can be rotated to form the 3D object shown.

a)
b)
c)
d)
143.

What figure would this cross section create?

a)

A triangle

b)

A square

c)

A circle

d)

A rectangle

144.

A cross section parallel to the base of a 3-D solid will always be . . .

a)

a pentagon

b)

a different shape than the base

c)

the same shape as the base

d)

a circle

145.

What 3-D figure would be the result of rotating this triangle around line AC?

a)

A prism

b)

A pyramid

c)

A cylinder

d)

A cone

146.

What 3-D figure would be the result of rotating this circle around the axis shown?

a)

A sphere

b)

A donut

c)

A cone

d)

A cylinder

147.

Which of the following figures are pyramids? Choose all that apply.

a)
b)
c)
d)
148.

What is the surface area of this figure?

a)

SA=308.6 ft2SA=308.6\ ft^2  

b)

SA=276.9 ft2SA=276.9\ ft^2  

c)

SA=453.8 ft2SA=453.8\ ft^2  

d)

SA=527.3 ft2SA=527.3\ ft^2  

149.

The total surface area of this soup can is 51.84 in2.51.84\ in^2. If the diameter of the can is 3 inches, find the height of the can.

a)

h=3 in.h=3\ in.  

b)

h=4 in.h=4\ in.  

c)

h=5 in.h=5\ in.  

d)

h=6 in.h=6\ in.