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 units
b. / 192.5x units / d. / 28.5x units

____2.Find the perimeter and area of Figure B to the right.

a. / Perimeter = 30 units
Area = 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. / 15.5xy
b. / 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 units2
b. / 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 units
b. / 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 m
b. / 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 = 30.25in. 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 m2243.7 m2 / c. / A = 1,505.44 m24727.1 m2
b. / A = 38.8 m2 121.8 m2 / d. / A = 376.36 m21181.8 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 cm3
b. / 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 times
b. / 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 yd3
b. / 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 scale
If a = 32 ft, b = 13 ft, c = 16 ft, and d = 17 ft,
what is the area of the living room and hallway together?
  1. 336 ft2
  2. 688 ft2
  3. 78 ft2
  4. 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?
  1. 83.6 cubic feet
  2. 81.6cubic feet
  3. 88 cubic feet
  4. 76cubic feet

17. If a = 4 units, b = 8 units, and c = 12 units, what is the total volume of the three prisms?
  1. 320 cubic units
  2. 384 cubic units
  3. 264 cubic units
  4. 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?

  1. 70 cubic units
  2. 60 cubic units
  3. 210 cubic units
  4. 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?
  1. 125cubic centimeters
  2. 6,000cubic centimeters
  3. 5,875cubic centimeters
  4. 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?
  1. 768cubic inches
  2. 576 cubic inches
  3. 512cubic inches
  4. 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