Area and Volume Measurement Quizzes for Master's in Mathematics Education

Question 1

Which of these is a non-standard unit of area?

Accepted Answer

Hand span

Answer

Square foot

Answer

Acre

Answer

Square kilometer

Question 2

A cylinder's base radius is 2 cm, and its height is 5 cm. What's its volume?

Accepted Answer

20π cm³

Answer

10π cm³

Answer

30π cm³

Answer

40π cm³

Question 3

Which formula calculates the volume of a cone?

Accepted Answer

V = (1/3) * πr²h

Answer

V = πr²h

Answer

V = (4/3) * πr³

Answer

V = s²h

Question 4

Which formula is used to calculate the volume of a cylinder?

Accepted Answer

V = πr²h

Answer

V = 2πrh

Answer

V = πd³

Answer

V = ½πr²h

Question 5

A farmer has a rectangular field with a length of 100 meters and a width of 50 meters. How many meters of fencing does he need to enclose the field?

Accepted Answer

250 meters

Answer

150 meters

Answer

300 meters

Answer

400 meters

Question 6

Which formula is used to calculate the area of a triangle?

Accepted Answer

A = ½ * b * h

Answer

A = l * w

Answer

A = π * r^2

Answer

A = 4πr^2

Question 7

Which of the following units of measurement is NOT used to measure volume?

Accepted Answer

Metres (m)

Answer

Cubic centimetres (cm³)

Answer

Litres (L)

Answer

Gallons (gal)

Question 8

Identify the non-standard unit of measurement for area.

Accepted Answer

Tiles

Answer

Square inches

Answer

Square feet

Answer

Hectares

Question 9

Which formula accurately calculates the volume of a sphere?

Accepted Answer

V = 4/3 * π * r³

Answer

V = π * r² * h

Answer

V = ½ * b * h

Answer

V = l * w * h

Question 10

Which formula is specifically used to calculate the area of a circle?

Accepted Answer

A = πr²

Answer

V = 4⁄3πr³

Answer

A = bh

Answer

V = πr²h

Question 11

Identify the unit that is NOT typically used to measure area.

Accepted Answer

Cubic meters

Answer

Square meters

Answer

Square miles

Answer

Hectares

Question 12

Which of the following is an example of a non-standard unit of area?

Accepted Answer

Handprint

Answer

Square foot

Answer

Acre

Answer

Square kilometer

Question 13

Provide the formula for calculating the surface area of a cube with side length s.

Accepted Answer

6s²

Answer

4s²

Answer

8s²

Answer

12s²

Question 14

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

Accepted Answer

68 cm²

Answer

34 cm²

Answer

50 cm²

Answer

86 cm²

Question 15

Select the correct formula for calculating the area of a trapezoid.

Accepted Answer

A = ½ (b1 + b2)h

Answer

V = 4⁄3πr³

Answer

A = bh

Answer

V = πr²h

Question 16

A rectangular garden measures 12 meters in length and 8 meters in width. Calculate the area of the garden.

Accepted Answer

96 square meters

Answer

48 square meters

Answer

192 square meters

Answer

24 square meters

Question 17

A rectangular garden has a length of 12 meters and a width of 8 meters. Calculate the area of the garden.

Accepted Answer

96 square meters

Answer

20 square meters

Answer

48 square meters

Answer

192 square meters

Question 18

A circular swimming pool has a diameter of 10 meters. What is the approximate area of the pool's surface?

Accepted Answer

78.5 square meters

Answer

157 square meters

Answer

31.4 square meters

Answer

314 square meters

Question 19

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

Accepted Answer

125 cubic centimeters

Answer

25 cubic centimeters

Answer

75 cubic centimeters

Answer

150 cubic centimeters

Question 20

A triangular prism has a base area of 12 square inches and a height of 5 inches. What is the volume of this prism?

Accepted Answer

60 cubic inches

Answer

120 cubic inches

Answer

17 cubic inches

Answer

24 cubic inches

Question 21

A cube has a side length of 3 meters. What is the volume of the cube in cubic meters?

Accepted Answer

27

Answer

18

Answer

9

Answer

81

Question 22

A rectangular room is 5 meters long, 4 meters wide, and 3 meters high. What is the total surface area of the walls of the room in square meters?

Accepted Answer

54

Answer

12

Answer

60

Answer

27