AnswersFL-1205040-MJ Grade 7 Mathematics B -GFVolume and Surface Area Problems

Volume and Surface Area Problems — Unit test Answers

1 verified answers
1
Free Preview

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
2
Free Preview

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
3

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
4

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
5

A rectangular pyramid has a volume of , a height of 12 in., and a base length of 21 in. What is the width of its base?

Question illustration
A
2 in.
B
6 in.
C
12 in.
D
18 in.
6

One of the skylights on the roof of Bianca’s building is in the shape of the solid below.What is the total volume of air inside the skylight?

Question illustration
A
392 inches cubed
Option A
B
588 inches cubed
Option B
C
870 inches cubed
Option C
D
980 inches cubed
Option D
7

The surface area of which composite figure is the sum of the areas of eight triangular faces?

A
two rectangular pyramids joined at their congruent bases
B
two rectangular pyramids joined at two congruent lateral faces
C
two triangular prisms joined at their congruent bases
D
two triangular prisms joined at two congruent lateral faces
8

What is the volume of this triangular prism?

Question illustration
A
182 m
Option A
B
195 m
Option B
C
210 m
Option C
D
390 m
Option D
9

What is the volume of this rectangular prism?

Question illustration
A
30.75 cm
Option A
B
61.5 cm
Option B
C
147.6 cm
Option C
D
295.2 cm
Option D
10

Kievan bought a new eraser that came in a cardboard wrapper.What is the minimum amount of cardboard used for the wrapper?

Question illustration
A
38 centimeters squared
Option A
B
40 centimeters squared
Option B
C
76 centimeters squared
Option C
D
80 centimeters squared
Option D
11

What is the surface area of the triangular prism? [Not drawn to scale]

Question illustration
A
115 square feet
B
120 square feet
C
135 square feet
D
150 square feet
12

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
13

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
14

The solid glass award that Jillian was given has a total height of 15 inches as shown.What is the total volume of glass used to make the award?

Question illustration
A
120 inches cubed
Option A
B
152 inches cubed
Option B
C
168 inches cubed
Option C
D
204 inches cubed
Option D
15

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
16

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.
17

Which statement is true about every rectangular pyramid?

A
Each lateral face has an area less than the area of the base.
B
At least two of the lateral faces are congruent.
C
Each lateral face has the same height.
D
At least one of the faces has a whole number base or height.
18

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
19

Each brick in the wall has the dimensions shown below.What is the volume of each brick?

Question illustration
A
59 inches cubed
Option A
B
72 inches cubed
Option B
C
118 inches cubed
Option C
D
144 inches cubed
Option D
20

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

Did you find these answers helpful?

More from this Course

Quiz
25 verified answers

Unit Test

Quiz
25 verified answers

Unit Test

Quiz
25 verified answers

Unit Test