WorksheetsC.A. Unit 4B Geometry 3D
Total questions: 61
Worksheet time: 2hrs 27mins
Name
Class
Date
1.
What is the volume of this rectangular prism?
a)
60 cubic centimeters
b)
15 cubic centimeters
c)
20 cubic centimeters
d)
6 cubic centimeters
2.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
3.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
4.
What shape is the base? What is the area of the base (B)?
a)
Rectangle; 60in2
b)
Triangle; 12 in2
c)
Rectangle; 32 in2
d)
Triangle; 6 in2
5.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
6.
Find the volume:
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
7.
a)
900 in3
b)
900 ft3
c)
900 m2
d)
900 in2
8.
A fish-tank has a length of 45 centimeters, a width of 25 centimeter and a depth of 10 centimeter. Find the volume of the fish-tank.
a)
10250 cm3
b)
11250 cm3
c)
11250 ft3
d)
10250 ft3
9.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
10.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
11.
find the volume of this figure?
a)
190cm3
b)
200cm3
c)
140cm3
d)
192cm3
12.
Find the volume.
a)
147
b)
588
c)
84
d)
294
13.
A tetrahedron is a pyramid with a triangular base. Find the volume of the tetrahedron.
a)
22 cubic inches
b)
33 cubic inches
c)
66 cubic inches
d)
44 cubic inches
14.
A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 15 cm, a width of 5 cm, and a height of 7 cm. The pyramid has a height of 13 cm. Find the volume of the composite space figure.
a)
1500 cm3
b)
500 cm3
c)
2275 cm3
d)
850 cm3
15.
What is the formula for the VOLUME of a PYRAMID?
a)
1/2pl
b)
4/3(pi)r3
c)
1/3Bh
d)
1/3(pi)r2h
16.
Which equation would you use to find the volume of this composite figure?
a)
π(2)²(8) + 4/3π(2)³
b)
π(2)²(4) + 4/3π(2)³
17.
What is the volume of this composite figure? Use the pi button on your calculator and round the answer to the nearest tenth.
a)
4825.5 ft3
b)
1206.4 ft3
18.
Find the volume of the composite solid.
Use 3.14 for pi.
Use 3.14 for pi.
a)
188.4 m3
b)
753.6 m3
19.
Find the volume of the composite solid.
Use 3.14 for pi.
Use 3.14 for pi.
a)
891.76 cm3
b)
420.76 cm3
20.
Which equation would you use to find the volume of this composite figure?
a)
83 + 4/3π(8)³
b)
83 + 4/3π(4)³
c)
83 + (1/2)(4/3)π(4)³
21.
What is the total surface area of this figure?
a)
3000 cm 2
b)
164 cm 2
c)
236 cm 2
d)
328 cm 2
22.
Jesse needs to wrap the present shown below. How much wrapping paper would he need?
Is this asking for Lateral or Total surface area?
Is this asking for Lateral or Total surface area?
a)
Lateral
b)
Total
23.
What does lateral mean when asked to find the lateral surface area?
a)
Means the bases and no sides.
b)
Means just the sides.
24.
What is the lateral surface area for this prism?
a)
35.4 units2
b)
177 units2
c)
251.9 units2
d)
374.5 units2
25.
The Wells Fargo Tower is the largest skyscraper in the United States, with a height of 992 ft. Assuming the base of the building is a 170' X 145' rectangle, how much glass is needed to cover the lateral surface of the building? **rectangular prism.**
a)
630 ft²
b)
992 ft²
c)
624,960 ft²
d)
25,642 ft²
26.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
27.
Michael has a very large soup pot shaped like a cylinder that has a height of 15 inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?
a)
5596.07 in3
b)
593.76 in3
c)
1695.6 in3
d)
94.5 in3
28.
Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?
a)
21 cubic inches
b)
63 cubic inches
c)
66 cubic inches
d)
198 cubic inches
29.
What is the total surface area of the triangular prism shown?
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
30.
What does "P" stand for in the surface area formulas?
a)
Perimeter of the area
b)
Parallel
c)
Perimeter of the Base
d)
Pi
31.
Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Use 3.14 for π.
Is this looking for Lateral or Total surface area?
Is this looking for Lateral or Total surface area?
a)
Lateral
b)
Total
32.
Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Use 3.14 for π.
Which formula can be used to find the surface area of the label?
Which formula can be used to find the surface area of the label?
a)
SA=2πrh+2r2
b)
SA=2πrh
c)
SA=Ph+2B
d)
V=Bh
33.
Jesse needs to wrap the present shown below. How much wrapping paper would he need?
Which formula can be used to find the surface area of the present?
Which formula can be used to find the surface area of the present?
a)
SA=Ph+2B
b)
SA=2πrh+2πr2
c)
SA=Ph
d)
V=Bh
34.
In the equation:
Ph + 2B, why are you multiplying by 2?
Ph + 2B, why are you multiplying by 2?
a)
Just because it's the formula.
b)
It is multiplying B by 2 because there are two bases.
c)
It's just the number 2.
35.
What is the surface area of a cereal box that has dimensions of 10.3 ft, 7.1 ft, and 8.5 ft?
a)
401.06 ft2
b)
442.06 ft2
c)
442.06 ft
d)
401.06 ft
36.
The length, width and height of the wooden box are 12.3 inches, 6.4 inches and 7.5 inches respectively. What is the surface area of the wooden box?
a)
437.94 square inches
b)
157.44 square inches
c)
184.50 square inches
d)
96.00 square inches
37.
Area of a Rectangle
a)
A = 1/2h(b1 + b2)
b)
A = bh
c)
a = 1/2bh
38.
Area of a Square
a)
A = 1/2h(b1 + b2)
b)
A = s 2
c)
A - 1/2bh
39.
How do you find the AREA of a TRIANGLE?
a)
Length x Width
b)
1/2 (base x height)
c)
1/3 (Length x width)
d)
Base x Height
40.
Area of a Parallelogram
a)
A = 1/2h(b1 +b2)
b)
A = bh
c)
A = 1/2bh
41.
Which is the correct net for this shape?
a)
A
b)
B
c)
C
d)
D
42.
Find the total surface area of the shape below?
a)
258 m2
b)
268 m2
c)
248 m2
d)
278 m2
43.
What is the lateral surface area of this figure?
a)
324 cm2
b)
144 cm2
c)
180 cm2
d)
288 cm2
44.
What is the lateral area of the pyramid?
a)
664 in. squared
b)
800 in. squared
c)
544 in. squared
d)
555 in. squared
45.
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
46.
Classify the 3D solid from its net.
a)
triangular prism
b)
triangular pyramid
c)
ninja star
d)
rectangular pyramid
47.
What 3D solid does this net create?
a)
Triangular Pyramid
b)
Triangular Prism
c)
Rectangular Pyramid
d)
Rectangular Prism
48.
What 3D solid does this net create?
a)
Rectangular Prism
b)
Rectangular Pyramid
c)
Cube
d)
Square Prism
49.
What is the lateral surface area of this shape?
a)
84 square cm
b)
96 square cm
c)
63 square cm
d)
56 square cm
50.
Mr. Murphy wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so he will know how much paint to buy. Including the doors, what is the lateral surface area of the storage shed in square feet?
a)
784 ft2
b)
266 ft2
c)
532 ft2
d)
336 ft2
51.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
52.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
53.
What is this formula used to find?
V=πr2h
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
54.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary.
a)
16.4 cm3
b)
31.7 cm3
c)
31.4 cm3
d)
22.0 cm3
55.
What is the formula for Volume of a Cone?
a)
V=π r3h
b)
V=π r2h
c)
V=(1/3)π r2h
d)
V=(4/3)π r3
56.
Find the volume of the figure.
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
57.
Find the volume of the cone. (Round to the nearest integer.)
a)
1810 in³
b)
151 in³
c)
452 in³
d)
276 in
58.
a)
400
b)
1200
c)
3600
d)
324
59.
Find the volume of each sphere. Round
your answers to the nearest tenth if
necessary. Use 3.14 for π.
a)
4.9 in3
b)
13.2 in3
c)
9.2 in3
d)
10.7 in3
60.
V = ?
a)
904.77 ft3
b)
7,238.23 ft3
c)
150.72 ft3
d)
650.22 ft3
61.
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
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