MATH-7
SOL Review 7.5 - Surface Area and Volume
[Exam ID:29L9V6] Scan Number:9384
1
Which statement is true?
A Volume is the areas of the surfaces of a container added together.
B Volume is the measure of the amount a container can hold.
C Surface area is the measure of the space inside of a container.
D Surface area is the area of the base of a container.
2
Which statement is true?
F Surface area is the measure of the space inside of a container.
G Volume is the distance around the container .
H Surface area is the areas of the surfaces of a container added together.
J Volume is the area of the base of a container.
3
Tom has created a chocolate mold in the shape of a heart. In order to determine how much chocolate will be needed to fill each mold, Tom will need to use the formula for —
A volume
B perimeter
C area
D surface area
4
Which situation would NOT require finding the volume?
F Tim needs to know how much gas to order for his propane tank.
G Jim needs to find out how much wrapping paper is needed to cover a present.
H Gail needs to know how many pieces of candy can fit into the container.
J Kim needs to calculate how much sand she needs to fill her sandbox.
5
Which situation would require finding the surface area?
A Billy needs to calculate how much paint is needed to cover the front side of his playhouse door.
B Tommy would like to know how much wood is needed to build a fence around his garden.
C Jane needs to find out how much wrapping paper is needed to cover a package.
D Carol needs to find out how much water will fill a cylinder.
6
Tony is building a hollow crate like shown. How much wood will be needed to build this crate?
F 172 ft2
G 420 ft2
H 344 ft2
J 204 ft2
7
Mrs. Lin uses these cylindrical containers for storage. If Mrs. Lin uses 2 of these containers, which is closest to the total volume of both containers?
A 6 cubic feet
B 13 cubic feet
C 8 cubic feet
D 16 cubic feet
8
Bill wants to paint the outside of the box. How many square feet need to be painted? F 113 ft2
G 154 ft2
H 20 ft2
J 226 ft2
9
Anastasia needs to paint a wooden cube as part of a sculpture for her art project. The cube has an edge length of 8 inches. If she paints all of the faces of the cube, what is the total surface area that will be painted? A
B
C
D
192 square inches
64 square inches
384 square inches
512 square inches
10 What is the surface area of a cylinder with a radius of 3.5 inches and a height of 12 inches?
F 835.25 in2
G 340.69 in2
H 329.7 in2
J 98.91 in2
11 Which shows the volume of the rectangular prism? A 312 in3
B 23 in3
C 96 in3
D 288 in3
12 The diameter of a soup can is 6 cm. What amount of soup will completely fill the can? F 282.60 cm3
G 226.08 cm3
H 339.12 cm3
J 452.16 cm3
13 A cylindrical paint can has a diameter of 12 centimeters and a height of 16 centimeters. Which is closest to the volume of the paint can in cubic centimeters?
A 603
B 1,809
C 7,235
D 1,206
14 Which statement is NOT true?
F Multiplying the length of a prism by a scale factor of 4 will multiply the volume of 4.
G Doubling the length of a prism will double its surface area.
H Doubling the length of a prism will double its volume.
J There is a direct relationship between a change in the length and a change in the volume.
15
The volume of a rectangular prism is 125 cm3. If the width of the prism is multiplied by a scale factor of 2, what is the volume of the new prism?
A 125 cm3
B 1,000 cm3
C 250 cm3
D 500 cm3
16 If the height of the rectangular prism is multiplied by a scale factor of 4, which of the following is true? F
G
H
J
The volume is eight times as large.
The volume increases by 4.
The volume remains the same.
The volume is also multiplied by a scale factor of 4.
17 If the height of a rectangular prism is multiplied by a scale factor of 3, which of the following represents the volume of the new rectangular prism?
A V = 9lwh
B V = 6lwh
C V = 3lwh
D V = 27lwh
18 If the height of a rectangular prism is multiplied by a scale factor of 3, which of the following represents the surface area of the new rectangular prism?
F SA = 6lw + 6lh + 6wh
G SA = 2lw + 3lh + 3wh
H SA = 3lw + 3lh + 3wh
J SA = 2lw + 6lh + 6wh
19 Adam designed a rectangular prism that had a volume of 189 cu in. Which action would decrease the volume of Adam’s prism to 63 cu in?
A Multiply the height of the original prism by a scale factor of 1 .
3 B Subtract 126 inches from the length of the original prism.
C Multiply the width of the original prism by a scale factor of 3.
D Subtract 42 inches from the width, height, and length of the original prism.