Geometry Perimeter Area & Volume 5

Question 1

If the side length of a square is doubled, how does its area change?

Accepted Answer

It quadruples

Answer

Area depends on the side squared, so doubling the side multiplies area by 4.

Question 2

A rectangular pool is 10 m long, 4 m wide, and 2 m deep. What is its volume?

Accepted Answer

80 m³

Answer

Volume is length × width × depth: 10 × 4 × 2 = 80 m³.

Question 3

What is the total surface area of a cube with an edge of 3 cm?

Accepted Answer

54 cm²

Answer

A cube has 6 faces, each 3² = 9 cm², so 6 × 9 = 54 cm².

Question 4

A composite shape is made of a 4 cm by 3 cm rectangle joined to a 4 cm by 2 cm rectangle. What is its total area?

Accepted Answer

20 cm²

Answer

Add the two areas: (4 × 3) + (4 × 2) = 12 + 8 = 20 cm².

Question 5

The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width?

Accepted Answer

6 cm

Answer

Half the perimeter is 15, so width = 15 − 9 = 6 cm.

Geometry Practice Test