Perimeter, Area, and Volume Practice
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
____1.Find the perimeter of Figure A to the right.
a. / 57x units / c. / 39.5x unitsb. / 192.5x units / d. / 28.5x units
____2.Find the perimeter and area of Figure B to the right.
a. / Perimeter = 30 unitsArea = 29 units2 / c. / Perimeter = 29 units
Area = 30 units2
b. / Perimeter = 24 units
Area = 29 units2 / d. / Perimeter = 27 units
Area = 28 units2
____3.Find the perimeter of the figure below.
a. / 20x3 + 20y2 / c. / 15.5xyb. / 6.5x + 9y / d. / 20x + 20y
____4.Graph and find the area of the figure with the given vertices.
(–1, –3), (0, 2), (3, 2), (3, –3)
a. / A = 20 units2 / c. / A = 17.5 units2b. / A = 12 units2 / d. / A = 35 units2
____5.Find the length of the hypotenuse of the triangle to the nearest tenth.
a. / 13 units / c. / 9.4 unitsb. / 89 units / d. / 3.6 units
____6.Use the Pythagorean Theorem to find the height of the triangle to the nearest tenth. Then use the height to find thearea of the triangle to the nearest tenth.
a. / / c. /b. / / d. /
____7.Find the circumference of a circle with radius 13.2 m, both in terms of and to the nearest tenth. Use 3.14 for .
a. / C = 174.24 m 547.1 m / c. / C = 6.6 m 20.7 mb. / C = 13.2 m 41.4 m / d. / C = 26.4 m 82.9 m
____8.Find the circumference of a circle with diameter 11 in., both in terms of and to the nearest tenth. Use 3.14 for .
a. / C = 22 in. 69.1 in. / c. / C = 30.25in. 95 in.b. / C = 5.5 in. 17.3 in. / d. / C = 11 in. 34.5 in.
____9.Find the area of a circle with radius 19.4 m, both in terms of and to the nearest tenth. Use 3.14 for .
a. / A = 77.6 m2243.7 m2 / c. / A = 1,505.44 m24727.1 m2b. / A = 38.8 m2 121.8 m2 / d. / A = 376.36 m21181.8 m2
____10.While rolling, a wheel with a diameter of in. makes 154 revolutions. Find the distance that is traveled by the wheel. Use for .
a. / 1,694 in. / c. / 847 in.b. / 1,482.25 in. / d. / 14 in.
____11.Find the volume of the triangular prism to the nearest tenth.
a. / 972 ft3 / c. / 108 ft3
b. / 216 ft3 / d. / 12 ft3
____12.Find the volume of a rectangular prism with a base of 7 cm by 19.5 cm and height of 20 cm. Round to the nearest tenth.
a. / 18,632.3 cm3 / c. / 2,730 cm3b. / 46.5 cm3 / d. / 136.5 cm3
____13.A toy box measures 2 yd by 9 yd by 7 yd. If the height of the box were changed from 7 yd to 42 yd, how would the volume of the box be affected?
a. / The volume would not change. / c. / Increased 36 timesb. / Decreased 6 times / d. / Increased 6 times
____14.Find the volume of the whole figure. Figure is not drawn to scale.
a. / 31,920 yd3 / c. / 5,612 yd3b. / 22,176 yd3 / d. / 9,744 yd3
15.
Abbey is getting new carpet in her living room and hallway. The following diagram shows the two together. Note: Figure not drawn to scaleIf a = 32 ft, b = 13 ft, c = 16 ft, and d = 17 ft,
what is the area of the living room and hallway together?
- 336 ft2
- 688 ft2
- 78 ft2
- 156 ft2
16.
Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 4 feet, b = 1.5 feet, and c = 2.2 feet.What is the volume of the entire dog house?
- 83.6 cubic feet
- 81.6cubic feet
- 88 cubic feet
- 76cubic feet
17. If a = 4 units, b = 8 units, and c = 12 units, what is the total volume of the three prisms?
- 320 cubic units
- 384 cubic units
- 264 cubic units
- 180 cubic units
18. What is the volume of the figure composed of two congruent triangular prisms if a = 5 units, b = 2 units, and c = 6 units?
- 70 cubic units
- 60 cubic units
- 210 cubic units
- 52.5 cubic units
19.
A cube-shaped hole is cut in a rectangular prism as shown below.If x = 5 cm, y = 40 cm, and z = 30 cm, what is the volume of the figure that remains?
- 125cubic centimeters
- 6,000cubic centimeters
- 5,875cubic centimeters
- 6,125cubic centimeters
20.
A square pyramid is attached to the top of a cube as shown below.If x = 8 inches and y = 12 inches, where y is the height of the pyramid, what is the volume of the figure?
- 768cubic inches
- 576 cubic inches
- 512cubic inches
- 256cubic inches
Perimeter, Area, and Volume Practice
Answer Section
MULTIPLE CHOICE
1.A
2.A
3.B
4.C
5.C
6.C
7.D
8.D
9.D
10.A
11.C
12.C
13.D
14.A
15. A
16. D
17. B
18. B
19. C
20. A