Area and Volume Learning Quizzes | Comprehensive Math | Grade 10

Question 1

Determine the surface area of a cube with an edge length of 5 cm.

Accepted Answer

100 cm²

Answer

25 cm²

Answer

50 cm²

Answer

150 cm²

Question 2

What is the formula for calculating the area of a rectangle?

Accepted Answer

A = l × w

Answer

A = 2(l + w)

Answer

A = πr²

Answer

A = (1/2)bh

Question 3

Determine the area of a parallelogram with a base of 10 cm and a height of 5 cm.

Accepted Answer

25 cm²

Answer

15 cm²

Answer

50 cm²

Answer

100 cm²

Question 4

Calculate the volume of a hemisphere with a radius of 4 cm.

Accepted Answer

(2/3)π(4)³ cm³

Answer

(4/3)π(4)³ cm³

Answer

(1/3)π(4)³ cm³

Answer

(3/4)π(4)³ cm³

Question 5

Which of the following is NOT a property of similar figures?

Accepted Answer

Equal perimeters

Answer

Equal corresponding angles

Answer

Equal corresponding sides

Answer

Equal areas

Question 6

Which of the following solids is formed by rotating a rectangle around its shorter side?

Accepted Answer

Cylinder

Answer

Cone

Answer

Sphere

Answer

Hemisphere

Question 7

Determine the volume of a cube that has a side length of 4 cm.

Accepted Answer

64 cm³

Answer

16 cm³

Answer

32 cm³

Answer

128 cm³

Question 8

Find the surface area of a rectangular prism with a length of 6 cm, a width of 4 cm, and a height of 3 cm.

Accepted Answer

120 cm²

Answer

72 cm²

Answer

96 cm²

Answer

144 cm²

Question 9

The formula to calculate the surface area of a sphere with radius 'r' is:

Accepted Answer

4πr²

Answer

2πr³

Answer

8πr³

Answer

16πr²

Question 10

Which shape has the smallest surface area for a given volume?

Accepted Answer

Sphere

Answer

Cube

Answer

Cylinder

Answer

Cone

Question 11

Find the volume of a regular pyramid with a base area of 10 cm² and a height of 5 cm:

Accepted Answer

50 cm³

Answer

25 cm³

Answer

75 cm³

Answer

100 cm³

Question 12

Which shape qualifies as a polyhedron?

Accepted Answer

Cube

Answer

Sphere

Answer

Cone

Answer

Cylinder

Question 13

The volume of a sphere is calculated using the formula V = (4/3)πr³. Calculate the radius of a sphere with a volume of 288π cubic units.

Accepted Answer

6 cm

Answer

3 cm

Answer

9 cm

Answer

12 cm

Question 14

What is the formula for calculating the area of a triangle?

Accepted Answer

1/2 * base x height

Answer

base + height

Answer

π * radius^2

Answer

base^2 * height

Question 15

Which formula gives the volume of a cube?

Accepted Answer

side^3

Answer

2 * side^3

Answer

4 * side^3

Answer

π * side^3

Question 16

Calculate the volume of a cube with a side length of 3 cm.

Accepted Answer

27 cubic centimeters

Answer

81 cubic centimeters

Answer

9 cubic centimeters

Answer

3 cubic centimeters

Question 17

What is the formula for calculating the area of a circle?

Accepted Answer

π * radius^2

Answer

π * diameter^2

Answer

2 * π * radius

Question 18

A circular pool has a radius of 5 meters. Find its area.

Accepted Answer

25π square meters

Answer

2π square meters

Answer

50π square meters

Answer

10π square meters

Question 19

Which formula gives the volume of a cylinder?

Accepted Answer

π * radius^2 * height

Answer

2 * π * radius * height

Answer

4 * π * radius^2 * height

Answer

π * radius^3 * height

Question 20

Calculate the volume of a cylinder with a radius of 3 cm and a height of 5 cm.

Accepted Answer

45π cubic centimeters

Answer

3π cubic centimeters

Answer

15π cubic centimeters

Answer

90π cubic centimeters

Question 21

What is the formula for calculating the volume of a cone?

Accepted Answer

(1/3) * π * radius^2 * height

Answer

π * radius^2 * height

Answer

(1/4) * π * radius^2 * height

Answer

(2/3) * π * radius^2 * height

Question 22

Find the area of a circle with a radius of 4 cm. The formula for the area of a circle is A = πr², where r is the radius.

Accepted Answer

16π cm²

Answer

32π cm²

Answer

8π cm²

Answer

64π cm²

Question 23

Calculate the area of a rectangular plot with a length of 6 cm and a width of 4 cm.

Accepted Answer

24 cm²

Answer

10 cm²

Answer

30 cm²

Answer

15 cm²

Question 24

Find the volume of a cube with sides measuring 5 cm.

Accepted Answer

125 cm³

Answer

30 cm³

Answer

15 cm³

Answer

25 cm³

Question 25

Calculate the surface area of a cone with a radius of 5 cm and a slant height of 6 cm.

Accepted Answer

113.04 cm²

Answer

226.08 cm²

Answer

60.32 cm²

Answer

80.42 cm²

Question 26

A rectangular garden measures 12 meters by 8 meters. Calculate the area of the garden.

Accepted Answer

96 square meters

Answer

48 square meters

Answer

20 square meters

Answer

192 square meters

Question 27

A circle has a radius of 5 centimeters. Determine its area. (Use π = 3.14)

Accepted Answer

78.5 square centimeters

Answer

157 square centimeters

Answer

25 square centimeters

Answer

62.8 square centimeters

Question 28

A pizza has a diameter of 12 inches. Calculate its area. (Use π = 3.14)

Accepted Answer

113.04 square inches

Answer

144 square inches

Answer

78.5 square inches

Answer

226.08 square inches

Question 29

Calculate the area of a rectangular lawn with a length of 25 meters and a width of 10 meters.

Accepted Answer

250 square meters

Answer

150 square meters

Answer

25 square meters

Answer

500 square meters

Question 30

Determine the volume of a cylinder with a base radius of 5 centimeters and a height of 10 centimeters.

Accepted Answer

250π cubic centimeters

Answer

100π cubic centimeters

Answer

200π cubic centimeters

Answer

50π cubic centimeters

Question 31

Calculate the volume of a triangular prism with a base area of 30 square meters and a height of 6 meters.

Accepted Answer

180 cubic meters

Answer

360 cubic meters

Answer

540 cubic meters

Answer

90 cubic meters

Question 32

Determine the length of fencing required to enclose a rectangular garden with a length of 12 feet and a width of 8 feet.

Accepted Answer

40 feet

Answer

50 feet

Answer

20 feet

Answer

30 feet

Question 33

Calculate the area of a rectangular garden with dimensions of 12 meters by 8 meters.

Accepted Answer

96 square meters

Answer

192 square meters

Answer

384 square meters

Answer

48 square meters

Question 34

Determine the circumference of a circle with a radius of 5 centimeters.

Accepted Answer

10π centimeters

Answer

5π centimeters

Answer

20π centimeters

Answer

25π centimeters

Question 35

Calculate the volume of a rectangular prism with a length of 6 centimeters, a width of 4 centimeters, and a height of 3 centimeters.

Accepted Answer

72 cubic centimeters

Answer

13 cubic centimeters

Answer

24 cubic centimeters

Answer

36 cubic centimeters

Question 36

Determine the volume of a pyramid with a square base with sides of 8 centimeters and a height of 6 centimeters.

Accepted Answer

128 cubic centimeters

Answer

192 cubic centimeters

Answer

96 cubic centimeters

Answer

256 cubic centimeters

Question 37

Calculate the volume of a cylindrical container with a radius of 5 centimeters and a height of 10 centimeters.

Accepted Answer

250π cubic centimeters

Answer

100π cubic centimeters

Answer

125π cubic centimeters

Answer

50π cubic centimeters

Question 38

Determine the volume of a triangular prism with a base area of 12 square centimeters and a height of 5 centimeters.

Accepted Answer

60 cubic centimeters

Answer

120 cubic centimeters

Answer

24 cubic centimeters

Answer

30 cubic centimeters

Question 39

A rectangular room measures 10 feet by 12 feet. The ceiling is 8 feet high. What is the volume of the room?

Accepted Answer

960 cubic feet

Answer

480 cubic feet

Answer

120 cubic feet

Answer

20 cubic feet

Question 40

A rectangular garden needs to be fenced. It measures 15 meters by 20 meters. What is the minimum amount of fencing needed?

Accepted Answer

70 meters

Answer

300 square meters

Answer

60 meters

Answer

35 meters

Question 41

A rectangular garden is 12 meters long and 8 meters wide. What is the area of the garden?

Accepted Answer

96 square meters

Answer

48 square meters

Answer

192 square meters

Answer

20 square meters

Question 42

A circular pool has a radius of 5 meters. What is the area of the pool?

Accepted Answer

78.5 square meters (approximately)

Answer

314 square meters (approximately)

Answer

31.4 square meters (approximately)

Answer

157 square meters (approximately)

Question 43

A triangular sail has a base of 6 meters and a height of 4 meters. What is the area of the sail?

Accepted Answer

12 square meters

Answer

36 square meters

Answer

6 square meters

Answer

24 square meters

Question 44

A cube has a side length of 4 centimeters. What is the volume of the cube?

Accepted Answer

64 cubic centimeters

Answer

32 cubic centimeters

Answer

12 cubic centimeters

Answer

16 cubic centimeters

Question 45

A rectangular prism has a length of 5 inches, a width of 3 inches, and a height of 2 inches. What is the volume of the prism?

Accepted Answer

30 cubic inches

Answer

15 cubic inches

Answer

10 cubic inches

Question 46

A cylinder has a radius of 3 centimeters and a height of 8 centimeters. What is the volume of the cylinder?

Accepted Answer

226.2 cubic centimeters (approximately)

Answer

150.8 cubic centimeters (approximately)

Answer

452.4 cubic centimeters (approximately)

Answer

75.4 cubic centimeters (approximately)

Question 47

A cone has a radius of 4 centimeters and a height of 9 centimeters. What is the volume of the cone?

Accepted Answer

150.8 cubic centimeters (approximately)

Answer

50.3 cubic centimeters (approximately)

Answer

301.6 cubic centimeters (approximately)

Question 48

A rectangular box is 10 inches long, 6 inches wide, and 4 inches high. You want to fill the box with cubes that have a side length of 1 inch. How many cubes will fit in the box?

Accepted Answer

240

Answer

100

Answer

120

Answer

60

Question 49

A gardener wants to build a circular flower bed with a diameter of 6 meters. What is the area of the flower bed?

Accepted Answer

28.3 square meters (approximately)

Answer

113 square meters (approximately)

Answer

18.8 square meters (approximately)

Answer

56.5 square meters (approximately)