AnswersMath 7 B M12 2526 S2Volume of Composite Figures

Volume of Composite Figures — Cumulative exam Answers

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What is the shape of the cross section of the figure that is perpendicular to the rectangular base and passes through the top vertex of the figure?

Question illustration
A
a parallelogram that is not a rectangle
B
a rectangle
C
a triangle that must have the same dimensions as one of the faces
D
a triangle that does not have the same dimensions as one of the faces
2
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Jasper built a dollhouse for his younger sister.Which equation shows how to determine the volume of the dollhouse?

Question illustration
A
V = 24 (10) (8) + one-half (6) (24) (8)
Option A
B
V = 24 (10) (8) + one-third (6) (24) (8)
Option B
C
V = 24 (10) (8) + one-half (6) (24) (10)
Option C
D
V = 24 (10) (8) + one-third (6) (24) (10)
Option D
3

Which could be the area of a face of the rectangular prism? [Not drawn to scale]

Question illustration
A
5 m2
B
6 m2
C
7 m2
D
9 m2
4

What does volume measure?

A
the amount of space occupied by a two-dimensional solid object
B
the total area of all the surfaces of a three-dimensional solid object
C
the amount of space inside the boundary of a two-dimensional object
D
the amount of space occupied by a three-dimensional solid object
5

What is the surface area of the shaded front face of the composite solid?

Question illustration
A
16 square centimeters
B
18 square centimeters
C
26 square centimeters
D
32 square centimeters
6

A square pyramid was sliced perpendicular to its base but not through its vertex. What is the shape of the cross section shown in the figure?

Question illustration
A
a parallelogram that is not a rectangle or square
B
a rectangle that is not a square
C
a square
D
a trapezoid
7

A pyramid has a volume of and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?

Question illustration
A
4 in.
B
12 in.
C
24 in.
D
36 in.
8

Valentina has a tray where she keeps all of her important papers. The tray is in the shape of a rectangular prism with no top.What is the volume of papers that the tray can hold?

Question illustration
A
160 inches cubed
Option A
B
180 inches cubed
Option B
C
280 inches cubed
Option C
D
300 inches cubed
Option D
9

Which shows how to determine the volume of the pyramid?

Question illustration
A
V = one-third (12) (8) (10)
Option A
B
V = one-half (12) (10)
Option B
C
V = one-half (12) (8) (10)
Option C
D
V = One-third (12) (10)
Option D
10

What is the surface area of the rectangular pyramid below?

Question illustration
A
29.99 m2
B
31.04 m2
C
41.74 m2
D
65.24 m2
11

Which equation can be used to find the volume of this solid?

Question illustration
A
V = StartFraction 7 + 6 over 2 EndFraction times 8
Option A
B
V = StartFraction 7 + 6 + 8 over 2 EndFraction
Option B
C
V = StartFraction 7 times 6 over 2 EndFraction times 8
Option C
D
V = StartFraction 7 times 6 over 2 EndFraction + 8
Option D
12

What is the surface area of the triangular prism?

Question illustration
A
2,001 square feet
B
2,376 square feet
C
2,592 square feet
D
4,320 square feet
13

What is the minimum amount of cloth that was used to make the tent shown below?

Question illustration
A
120 feet squared
Option A
B
160 feet squared
Option B
C
184 feet squared
Option C
D
208 feet squared
Option D
14

A small container and its lid are shown below.Which correctly describes the dimensions of the figures that make up the container and its lid?

Question illustration
A
a rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm
B
a rectangular prism measuring 2 cm by 4 cm by 8 cm and a rectangular pyramid with the dimensions of 4 cm by 5 cm by 8 cm
C
a rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 5 cm by 8 cm
D
a rectangular prism measuring 2 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 4 cm by 5 cm by 8 cm
15

A rectangular prism and a square pyramid were joined to form a composite figure. [Not drawn to Scale]What is the surface area of the figure?

Question illustration
A
261 in.2
B
333 in.2
C
405 in.2
D
477 in.2
16

Which expression represents the total surface area, in square meters, of the rectangular pyramid below?

Question illustration
A
(18.4) (27.6) + 2 ((18.4) (20.4)) + 2 ((27.6) (17.6))
Option A
B
(18.4) (27.6) + 2 ((18.4) (22.4)) + 2 ((27.6) (22.4))
Option B
C
(18.4) (27.6) + 2 (one-half (18.4) (20.4)) + 2 (one-half (27.6) (17.6))
Option C
D
(18.4) (27.6) + 2 (one-half (18.4) (22.4)) + 2 (one-half (27.6) (22.4))
Option D
17

What is the shape of the cross section of the figure that is parallel to the triangular bases?

Question illustration
A
a parallelogram that is not a rectangle
B
a rectangle
C
a triangle that must have the same dimensions as the bases
D
a triangle that may not have the same dimensions as the bases
18

Graham joined two congruent square pyramids to form the composite solid. [Not drawn to scale]If the lateral faces of the pyramids each have an area of 18.4 cm2, what is the total surface area of the composite solid?

Question illustration
A
73.6 cm2
B
110.4 cm2
C
147.2 cm2
D
158.2 cm2
19

Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2. If the area of the base is 60 cm2, what is the total surface area of the pyramid?

A
84.3 cm2
B
108.6 cm2
C
157.2 cm2
D
168.6 cm2
20

A rectangular pyramid was sliced perpendicular to its base and through its vertex. What is the shape of the cross section shown in the figure?

Question illustration
A
a triangle that has the same dimensions as one of the sides of the pyramid
B
a triangle that does not have the same dimensions as one of the sides of the pyramid
C
a parallelogram that is not a rectangle
D
a rectangle

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