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Worksheets

Prisms and Pyramids

Total questions: 35

Worksheet time: 4hrs 20mins

Name
Class
Date
1.
Find the volume:
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
2.
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
3.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
4.
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
5.
The volume of a triangular pyramid is 10 cubic inches. The base is a right triangle with a length of 4 inches and height of 3 inches. What is the height of the pyramid, in inches?
a)
2.5 inches
b)
8 inches
c)
6.5 inches
d)
5 inches
6.
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
7.
Find the volume of the figure.
a)
1,800 cm³
b)
900 cm³
c)
600 cm³
d)
750 cm³
8.
What is the surface area of this figure?
a)
3000 cm 2
b)
164 cm 2
c)
236 cm 2
d)
328 cm 2
9.
What is the lateral area of the prism?
a)
299 units2
b)
21 units2
c)
320 units2
d)
 784.9 units2
10.
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
11.
find the surface area . ?
a)
152.3yd2
b)
85yd2
c)
138yd2
d)
13.8yd2
12.
What is the surface area of this triangular pyramid?
a)
198.9 sq. inches
b)
205.6 sq. inches
c)
187.9 sq. inches
d)
210.6 sq. inches
13.
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
14.
What does lateral mean when asked to find the lateral surface area?
a)
Means the bases and no sides.
b)
Means just  the sides.
15.
Find the lateral area of the square pyramid shown to the nearest whole number.
a)
5671 yd2
b)
2836 yd2
c)
4278 yd2
d)
2150 yd2
16.
Which is the correct net for this object?
a)
A
b)
B
c)
C
d)
D
17.
Which is the correct net for this shape?                                                                                                                                                
a)
A
b)
B
c)
C
d)
D
18.
What is the lateral area of the pyramid?
a)
664 in. squared
b)
800 in. squared
c)
544 in. squared
d)
555 in. squared
19.
Classify the 3D solid from its net.
a)
triangular prism
b)
triangular pyramid
c)
ninja star
d)
rectangular pyramid
20.
What 3D solid does this net create?
a)
Triangular Pyramid
b)
Triangular Prism
c)
Rectangular Pyramid
d)
Rectangular Prism
21.
What 3D solid does this net create?
a)
Rectangular Prism
b)
Rectangular Pyramid
c)
Cube
d)
Square Prism
22.
Find the lateral surface area of the rectangular prism.
a)
77 cm2
b)
56 cm2
c)
71 cm2
d)
65 cm2
23.
Find the total surface area. 
a)
3.75 cm2
b)
37.5 cm2
c)
73.5 cm2
d)
2.5 cm2
24.
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
25.
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
26.
What is surface area?
a)
The amount of stuff that can fit in an object.
b)
A 2D shape.
c)
A 3D shape.
d)
The sum of the areas of all the surfaces (faces) of a 3D shape.
27.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

c)

138 sq cm

d)

116 sq cm

28.
Find the surface area of the prism.
a)
500 ft2
b)
515 ft2
c)
525 ft2
d)
510 ft2
29.
What is the Volume of a Pyramid?
a)
V = 1/3 Bh
b)
V = 1/3 Bl
c)
V= 1/2 Ph
d)
V = 1/2 Bh
30.
What is the Surface Area of a Pyramid?
a)
SA = LA + B
b)
SA = LA + 2B
c)
SA = Ph + B
d)
SA = 1/3 Bh
31.
What is the Lateral Area of a Pyramid?
a)
LA = Pl
b)
LA = 1/3 Ph
c)
LA = 1/2 Bh
d)
LA = 1/2 Pl
32.
What is the Volume of a Prism
a)
V = 1/3Bh
b)
V= 1/2 Ph
c)
V = Bh
d)
V = Ph
33.
What is the Surface Area of a Prism?
a)
SA = LA + B
b)
SA = LA + 2B
c)
SA = Pl + 2B
d)
SA = Bh
34.
What is the Lateral Area of a Prism?
a)
LA = Pl
b)
LA = 1/2 Ph
c)
LA = Ph
d)
LA = Ph + 2B
35.
Find the surface area of the triangular pyramid.
a)
123.6 sq. feet
b)
116.8 sq. feet
c)
127.9 sq. feet
d)
130.9 sq. feet