Master Area and Volume Calculations: Interactive Quizzes and Practice

Question 1

A rectangular garden with a length of 12 meters and a width of 8 meters needs to be fenced. How many meters of fencing are needed?

Accepted Answer

40 meters

Answer

20 meters

Answer

32 meters

Answer

24 meters

Question 2

A rectangular prism has dimensions of 5 cm in length, 3 cm in width, and 2 cm in height. What is its volume?

Accepted Answer

30 cubic centimeters

Answer

40 cubic centimeters

Answer

15 cubic centimeters

Answer

20 cubic centimeters

Question 3

A rectangular piece of land measuring 100 meters in length and 50 meters in width is to be fenced. How many meters of fencing are required?

Accepted Answer

300 meters

Answer

250 meters

Answer

400 meters

Answer

350 meters

Question 4

A cylindrical water tank has a radius of 4 meters and a height of 5 meters. What is the volume of the tank?

Accepted Answer

251.2 cubic meters (approximately)

Answer

188.4 cubic meters (approximately)

Answer

125.6 cubic meters (approximately)

Answer

376.8 cubic meters (approximately)

Question 5

A cube-shaped box has a side length of 5 cm. What is its volume?

Accepted Answer

125 cubic centimeters

Answer

75 cubic centimeters

Answer

100 cubic centimeters

Answer

150 cubic centimeters

Question 6

A rectangular garden has a length of 15 meters and a width of 10 meters. What is the area of the garden?

Accepted Answer

150 square meters

Answer

200 square meters

Answer

50 square meters

Answer

100 square meters

Question 7

A triangular piece of fabric has a base of 8 cm and a height of 6 cm. What is the area of the fabric?

Accepted Answer

24 square centimeters

Answer

36 square centimeters

Answer

48 square centimeters

Answer

12 square centimeters

Question 8

Calculate the area of a rectangle with a length of 10 cm and a width of 5 cm.

Accepted Answer

50 cm^2

Answer

25 cm^2

Answer

100 cm^2

Answer

75 cm^2

Question 9

Find the volume of a cube with a side length of 4 cm.

Accepted Answer

64 cm^3

Answer

32 cm^3

Answer

128 cm^3

Answer

96 cm^3

Question 10

Find the area of a triangle with a base of 8 cm and a height of 6 cm.

Accepted Answer

24 cm^2

Answer

12 cm^2

Answer

36 cm^2

Question 11

What is the volume of a sphere with a radius of 5 cm?

Accepted Answer

523.6 cm^3

Answer

654.5 cm^3

Answer

981.7 cm^3

Answer

339.3 cm^3

Question 12

A rectangular garden has a length of 12 m and a width of 8 m. What is the area of the garden?

Accepted Answer

96 m^2

Answer

288 m^2

Answer

48 m^2

Answer

144 m^2

Question 13

A cylindrical water tank has a radius of 2 m and a height of 4 m. How many liters of water can the tank hold?

Accepted Answer

502.4 L

Answer

251.2 L

Answer

753.6 L

Answer

1004.8 L

Question 14

A cube-shaped storage box has a side length of 10 cm. What is the volume of the box in cubic meters?

Accepted Answer

0.001 m^3

Answer

0.1 m^3

Answer

10 m^3

Answer

1 m^3

Question 15

A rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 3 cm. What is the surface area of the prism?

Accepted Answer

72 cm^2

Answer

36 cm^2

Answer

144 cm^2

Answer

108 cm^2

Question 16

Find the area of a triangle with a base of 10 cm and a height of 8 cm.

Accepted Answer

40 cm²

Answer

80 cm²

Answer

160 cm²

Answer

20 cm²

Question 17

Calculate the volume of a rectangular prism with a length of 5 cm, a width of 3 cm, and a height of 2 cm.

Accepted Answer

30 cm³

Answer

60 cm³

Answer

15 cm³

Answer

12 cm³

Question 18

Find the area of a circle with a radius of 4 cm.

Accepted Answer

50.24 cm²

Answer

100.48 cm²

Answer

25.12 cm²

Answer

200.96 cm²

Question 19

Calculate the volume of a cylinder with a radius of 3 cm and a height of 6 cm.

Accepted Answer

188.49 cm³

Answer

753.96 cm³

Answer

94.25 cm³

Answer

376.98 cm³

Question 20

Find the area of a parallelogram with a base of 7 cm and a height of 4 cm.

Accepted Answer

28 cm²

Answer

56 cm²

Answer

14 cm²

Question 21

Calculate the volume of a cone with a radius of 5 cm and a height of 10 cm.

Accepted Answer

261.8 cm³

Answer

130.9 cm³

Answer

523.6 cm³

Answer

1047.2 cm³

Question 22

Find the area of a trapezoid with bases of 8 cm and 12 cm, and a height of 5 cm.

Accepted Answer

50 cm²

Answer

25 cm²

Answer

200 cm²

Answer

100 cm²

Question 23

Calculate the volume of a sphere with a radius of 6 cm.

Accepted Answer

904.78 cm³

Answer

1809.56 cm³

Answer

3619.12 cm³

Answer

452.39 cm³

Question 24

Find the area of a rhombus with diagonals of 8 cm and 12 cm.

Accepted Answer

48 cm²

Answer

96 cm²

Answer

192 cm²

Answer

24 cm²

Question 25

Calculate the volume of a pyramid with a square base of side length 4 cm and a height of 6 cm.

Accepted Answer

32 cm³

Answer

64 cm³

Answer

128 cm³

Answer

16 cm³

Question 26

A rectangular garden measures 12 meters in length and 8 meters in width. What is the area of the garden?

Accepted Answer

96 square meters

Answer

20 meters

Answer

40 square meters

Question 27

A triangular sail has a base of 6 feet and a height of 10 feet. What is the area of the sail?

Accepted Answer

30 square feet

Answer

16 square feet

Answer

120 square feet

Answer

60 square feet

Question 28

A cube has a side length of 5 centimeters. What is the volume of the cube?

Accepted Answer

125 cubic centimeters

Answer

25 cubic centimeters

Answer

150 cubic centimeters

Answer

75 cubic centimeters

Question 29

A rectangular prism has a length of 8 inches, a width of 4 inches, and a height of 6 inches. What is the volume of the prism?

Accepted Answer

192 cubic inches

Answer

96 cubic inches

Answer

48 cubic inches

Question 30

A cylinder has a radius of 3 meters and a height of 10 meters. What is the volume of the cylinder?

Accepted Answer

282.74 cubic meters (approximately)

Answer

565.49 cubic meters

Answer

188.5 cubic meters

Answer

94.25 cubic meters

Question 31

A rectangular room is 15 feet long and 12 feet wide.  You want to carpet the room.  How many square feet of carpet will you need?

Accepted Answer

180 square feet

Answer

27 square feet

Answer

30 square feet

Question 32

A cylindrical water tank has a diameter of 6 meters and a height of 4 meters.  What is the volume of the tank?

Accepted Answer

113.1 cubic meters (approximately)

Answer

75.4 cubic meters

Answer

226.2 cubic meters

Answer

37.7 cubic meters

Question 33

A rectangular garden is 20 feet long and 15 feet wide. You want to put a fence around it. How many feet of fencing will you need?

Accepted Answer

70 feet

Answer

300 feet

Answer

35 feet

Answer

150 feet

Question 34

A box is 10 inches long, 5 inches wide, and 3 inches high. What is the surface area of the box?

Accepted Answer

230 square inches

Answer

60 square inches

Answer

150 square inches

Answer

300 square inches

Question 35

A triangular prism has a base with an area of 12 square centimeters and a height of 8 centimeters. What is the volume of the prism?

Accepted Answer

96 cubic centimeters

Answer

48 cubic centimeters

Answer

20 cubic centimeters

Answer

120 cubic centimeters