Volume and Surface Area: Master the Basics with Interactive Quizzes

Question 1

Which formula is used for calculating the volume of a rectangular prism?

Accepted Answer

V = l * h * w

Answer

V = π * r² * h

Answer

V = (4/3) * π * r³

Answer

V = 2 * l * w + 2 * l * h + 2 * w * h

Question 2

What is the base shape of a square pyramid?

Accepted Answer

Square

Answer

Rectangle

Answer

Triangle

Answer

Circle

Question 3

Which formula is used for calculating the surface area of a rectangular prism?

Accepted Answer

SA = 2lw + 2lh + 2wh

Answer

SA = l * h * w

Answer

SA = πr²h

Answer

SA = (4/3)πr³

Question 4

Which formula calculates the lateral surface area of a cone?

Accepted Answer

LSA = πrh

Answer

LSA = 2πr²h

Answer

LSA = πr³h

Answer

LSA = (1/3)πr²h

Question 5

Which of the following is NOT a formula for the volume of a pyramid?

Accepted Answer

V = (4/3)πr³

Answer

V = (1/3)Bh

Answer

V = Bh

Answer

V = (1/2)Bh

Question 6

Which of these is NOT a formula for the volume of a sphere?

Accepted Answer

πr²l

Answer

(4/3)πr³

Answer

3πr²h

Answer

(1/3)πr²h

Question 7

What is the formula for the lateral surface area of a rectangular prism?

Accepted Answer

LSA = 2(l * b + b * h)

Answer

LSA = 2(l * b + b * h + l * h)

Answer

LSA = π * r² * h

Answer

LSA = 4/3π * r³

Question 8

When the length of a rectangular prism is doubled, what happens to its surface area and volume?

Accepted Answer

Surface area doubles, volume quadruples

Answer

Surface area stays the same, volume halves

Answer

Surface area quadruples, volume stays the same

Answer

Surface area halves, volume doubles

Question 9

Calculate the surface area of a cylinder with a radius of 5 cm and a height of 10 cm.

Accepted Answer

100π cm²

Answer

50π cm²

Answer

150π cm²

Answer

200π cm²

Question 10

Identify the property of volume that is incorrect.

Accepted Answer

Independent of temperature

Answer

Additive

Answer

Extensive

Answer

Scalar quantity

Question 11

Which formula calculates the volume of a cone?

Accepted Answer

V = (1/3) x π x r² x h

Answer

V = π x r² x h

Answer

V = 4/3 x π x r³

Answer

V = (1/2) x π x r² x h

Question 12

A prism has a triangular base with an area of 24 cm² and a height of 8 cm. What's its volume?

Accepted Answer

192 cm³

Answer

384 cm³

Answer

576 cm³

Answer

768 cm³

Question 13

Which net forms a rectangular prism when folded?

Accepted Answer

A square and two rectangles

Answer

Two squares and a triangle

Answer

A circle and a rectangle

Answer

Two circles and a triangle

Question 14

Calculate the volume of a rectangular prism with a length of 8 centimeters, a width of 6 centimeters, and a height of 4 centimeters.

Accepted Answer

48 cubic centimeters

Answer

16 cubic centimeters

Answer

32 cubic centimeters

Answer

64 cubic centimeters

Question 15

What is the equation used to calculate the volume of a cylinder?

Accepted Answer

V = πr²h

Answer

V = (4/3)πr³

Answer

V = lwh

Answer

V = bh

Question 16

How do volume and surface area differ for a three-dimensional object?

Accepted Answer

Volume measures the space inside the object, while surface area measures the total area of its surfaces.

Answer

Volume is always greater than surface area.

Answer

Surface area is always greater than volume.

Answer

Volume and surface area are the same thing.

Question 17

Which three-dimensional shape does not have a lateral surface area?

Accepted Answer

Sphere

Answer

Cube

Answer

Cylinder

Answer

Cone

Question 18

Which of the following is NOT a formula for finding the volume of a rectangular prism?

Accepted Answer

πr²h

Answer

length x width x height

Answer

1/2 x base x height

Answer

l x w x h

Question 19

Which of the following nets can be folded to form a rectangular prism?

Accepted Answer

Image of a net with a rectangular base and four rectangular sides

Answer

Image of a net with a triangular base and four triangular sides

Answer

Image of a net with a circular base and four rectangular sides

Answer

Image of a net with a hexagonal base and six triangular sides

Question 20

A cone has a radius of 3 cm and a height of 4 cm. What is its volume?

Accepted Answer

24π cm³

Answer

12π cm³

Answer

48π cm³

Answer

96π cm³

Question 21

Which of the following is NOT a unit of volume?

Accepted Answer

Square meter

Answer

Cubic centimeter

Answer

Liter

Answer

Gallon

Question 22

What is the correct formula to calculate the volume of a rectangular prism?

Accepted Answer

V = lwh

Answer

V = πr²h

Answer

V = Bh

Answer

V = 4/3πr³

Question 23

Identify the formula to calculate the surface area of a cylinder:

Accepted Answer

S = 2πrh

Answer

S = 2πr²

Answer

S = πr²h

Answer

S = 4πr²

Question 24

Which of these is not a formula for calculating the surface area of a pyramid?

Accepted Answer

S = 4πr²

Answer

S = ½Bh

Answer

S = Bh + ½Pl

Answer

S = πr² + πrl

Question 25

What is the formula for calculating the volume of a rectangular prism?

Accepted Answer

(length × width × height) cubic units

Answer

½ × base × height

Answer

length + width + height

Question 26

Which 3D shape has the greatest volume: a cylinder with radius 5 cm and height 10 cm, a rectangular prism with length 6 cm, width 4 cm, and height 3 cm, or a square-based pyramid with base side length 5 cm and height 12 cm?

Accepted Answer

Cylinder with radius 5 cm and height 10 cm

Answer

Rectangular prism with length 6 cm, width 4 cm, and height 3 cm

Answer

Square-based pyramid with base side length 5 cm and height 12 cm

Answer

All shapes have the same volume.

Question 27

What is the formula to calculate the surface area of a rectangular prism?

Accepted Answer

2(length × width + width × height + height × length)

Answer

(length × width × height)

Answer

πr(r + h)

Question 28

The formula for calculating the volume of a rectangular prism is:

Accepted Answer

Length × Width × Height

Answer

4 × π × Radius²

Answer

2 × (Length + Width + Height)

Answer

π × Radius² × Height

Question 29

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

Accepted Answer

150 cm²

Answer

75 cm²

Answer

50 cm²

Answer

125 cm²

Question 30

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

Accepted Answer

32 cm³

Answer

96 cm³

Answer

48 cm³

Answer

64 cm³

Question 31

Which solid has the greatest volume?

Accepted Answer

Cube with an edge length of 5 cm

Answer

Rectangular prism with a length of 4 cm, a width of 3 cm, and a height of 2 cm

Answer

Pyramid with a square base with a side length of 3 cm and a height of 4 cm

Answer

Cylinder with a radius of 2 cm and a height of 4 cm

Question 32

A pyramid has a square base with sides of 6 cm. Its height is 4 cm. What is the volume of the pyramid?

Accepted Answer

48 cm³

Answer

144 cm³

Answer

72 cm³

Answer

24 cm³

Question 33

A cylinder has a volume of 376.8 cm³ and a height of 8 cm. What is the radius of the cylinder (use π = 3.14)?

Accepted Answer

3 cm

Answer

12 cm

Answer

6 cm

Answer

9 cm

Question 34

A pyramid has a square base with sides of 5 cm. Its slant height is 6 cm. What is the surface area of the pyramid?

Accepted Answer

85 cm²

Answer

100 cm²

Answer

50 cm²