Quiz about Volume and Surface Area Review

Question 1

Phil bought a block of cheese in the shape of a rectangular prism measuring 8 inches by 4 inches by 2 inches. He cut four pieces of cheese off the block, each measuring 2 inches by 3 inches by 1 inch. How much of the block of cheese is left?

Accepted Answer

40 in3

Answer

64 in3

Answer

70 in3

Answer

58 in3

Question 2

A rectangular prism has a height of 12 inches and a length of 6 inches. If the total surface area is 396 square inches, what is the width of the prism?

Accepted Answer

7 in

Answer

6 in

Answer

9 in

Answer

8 in

Question 3

The cylinders shown have the same volume. What is the radius of Cylinder Y?

Accepted Answer

6 m

Answer

2 m

Answer

4 m

Answer

12 m

Question 4

Melinda is trying to decide between two different storage containers. She wants to purchase the container that has more volume. Which statement is true?

Accepted Answer

the cylindrical container is larger and has a volume of 7,540 in³

Answer

the rectangular container is larger and has a volume of 6,480 in³

Answer

the rectangular container is larger and has a volume of 7,540 in³

Answer

the cylindrical container is larger and has a volume of 6,480 in³

Question 5

The height of a cone with a 7-inch radius and a 9-inch height is doubled. How does that affect the volume of the cone?

Accepted Answer

The volume is doubled.

Answer

The volume is tripled.

Answer

The volume is squared.

Answer

The volume is cubed.

Question 6

A builder poured concrete for a ramp. The dimensions are shown below. What is the width (height of ramp) of the ramp x if the volume is 810 cubic centimeters?

Accepted Answer

15 cm

Answer

12 cm

Answer

13 cm

Answer

19 cm

Question 7

Now that you have the width for the concrete ramp. Calculate the total surface area.

Accepted Answer

648 cm2

Answer

540 cm2

Answer

576 cm2

Answer

792 cm2

Question 8

Determine the total surface area of the prism.

Accepted Answer

160.5 in2

Answer

136.5 in2

Answer

202 in2

Question 9

Jeffery has a piece for his train set in the shape of a triangular prism. He has enough paint to cover 25 square feet. If he uses all the paint, how many square feet will be unpainted?

Accepted Answer

25 ft2

Answer

5 ft2

Answer

32 ft2

Answer

7 ft2

Question 10

Elizabeth wants to paint the outside of the box blue. If paint costs $0.30 per square inch, how much will it cost Elizabeth to paint every outside surface?

Accepted Answer

$612

Answer

$500

Answer

$516

Answer

$416

Question 11

What 3D solid does this net create?

Accepted Answer

Rectangular Prism

Answer

Rectangular Pyramid

Answer

Cube

Answer

`Square Prism

Question 12

What is the name of this 3D solid?

Accepted Answer

Triangular Prism

Answer

Triangular Pyramid

Answer

Triangular Proton

Answer

Square Base Triangle

Question 13

The base of the triangle is 5 inches. The length of the rectangle is 15 inches. The height of the triangle is 10 inches. Find the lateral surface area.

Accepted Answer

225 in2

Answer

300 in2

Answer

200 in2

Answer

275 in2

Question 14

What is the lateral surface area of this figure?

Accepted Answer

144 cm2

Answer

324 cm2

Answer

180 cm2

Answer

288 cm2

Question 15

What is surface area?

Accepted Answer

the sum of the areas of all the shapes that cover the surface of the object.

Answer

how much a 3D object can hold

Answer

the area of the 2 bases

Answer

the area of a shape plus it's volume

Question 16

Find the lateral surface area of the figure.

Accepted Answer

84 ft2

Answer

96 ft2

Answer

192 ft2

Answer

108 ft2

Question 17

Find the lateral surface area of the figure.

Accepted Answer

816 m2

Answer

456 m2

Answer

1444 m2

Answer

1245 m2

Question 18

A rectangular prism has dimensions of 3 ft, 2 ft, 5 ft.  Which of the following is true?

Accepted Answer

Volume < Surface Area

Answer

Volume > Surface Area

Answer

Volume = Surface Area

Answer

Surface Area = 2 times the Volume

Question 19

Rudy wants to make a cube-shaped box with no top.  How much cardboard is needed to make the box if each edge is 16 inches long?

Accepted Answer

1280 in2

Answer

1536 in2

Answer

4096 in2

Answer

96 in2

Question 20

Find the surface area of a rectangular prism with the following dimensions:
length = 8 m; height = 4 m;
width = 6 m.

Accepted Answer

208 m2

Answer

104 m2

Answer

204 m2

Answer

200 m2

Question 21

The area of the base of this rectangular pyramid can be found by using which equation?

Accepted Answer

B = 8 x 8

Answer

B = 8x9

Answer

B = 1/3 (8 x 8)

Answer

B = 1/3 (8 x 9)

Question 22

The shape of the base in a rectangular pyramid is a rectangle.

Accepted Answer

True

Answer

False

Question 23

What is the volume of the prism?

Accepted Answer

60 cubic cm

Answer

90 cubic cm

Answer

120 cubic cm

Answer

150 cubic cm

Question 24

Question 24.

Accepted Answer

A and B

Answer

A

Answer

C and D

Answer

D

Question 25

Question 25.

Accepted Answer

V= 523.3333 ft³

Answer

V= 392.5 ft³

Answer

V=104.6667 ft³

Answer

V= 65.4167 ft³

Question 26

Question 26.

Accepted Answer

V= 2143.5733 ft³

Answer

V= 267.9467 ft³

Answer

V= 1607.68 ft³

Answer

V= 17,148.5867 ft³

Question 27

A can of juice is 10 cm across and 13 cm tall. If you need 7,100 cm³ of juice, how many cans will you need to buy?

Accepted Answer

7

Answer

5

Answer

6

Answer

8

Question 28

Which has a greater volume?
Cylinder A. r = 3 m, h = 1.2 m
Cylinder B. d = 4 m, h = 2.5 m

Accepted Answer

Cylinder A

Answer

Cylinder B

Answer

They are the same

Question 29

You have a globe that has a radius of 11 inches. Find the volume of your globe.

Accepted Answer

5,575 in3

Answer

523 in3

Answer

16,717 in³

Answer

7,235 in3

Question 30

Question 30.

Accepted Answer

Cones

Answer

Prism

Answer

Spheres

Answer

Cylinders

Question 31

Which label would NOT be appropriate for volume.

Accepted Answer

square miles

Answer

inches3

Answer

cm3

Answer

cubic feet

Question 32

Which cylinder will have a larger volume?

Accepted Answer

Cylinder A

Answer

Cylinder B

Question 33

What does the "B" in the volume formula V = B x h stand for?

Accepted Answer

Area of the base

Answer

Bottom of the object

Answer

Box

Answer

Between

Volume and Surface Area Review

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