BECE Geometric Shapes and Mensuration 3

Question 1

What is the volume of a cube with side length 5 cm?

Accepted Answer

125 cm³

Answer

Volume of a cube = s³ = 5³ = 125 cm³.

Question 2

A rectangular box has dimensions 4 cm × 3 cm × 2 cm. What is its volume?

Accepted Answer

24 cm³

Answer

Volume = length × width × height = 4 × 3 × 2 = 24 cm³.

Question 3

What is the total surface area of a cube with side length 6 cm?

Accepted Answer

216 cm²

Answer

A cube has 6 identical faces; total surface area = 6 × s² = 6 × 36 = 216 cm².

Question 4

A cylinder has radius 7 cm and height 10 cm. What is its volume? (Use π = 22/7)

Accepted Answer

1540 cm³

Answer

Volume = πr²h = (22/7) × 49 × 10 = 22 × 7 × 10 = 1540 cm³.

Question 5

What is the volume of a cone with base radius 3 cm and height 7 cm? (Use π = 22/7)

Accepted Answer

66 cm³

Answer

Volume = (1/3)πr²h = (1/3) × (22/7) × 9 × 7 = (1/3) × 198 = 66 cm³.

(BECE) Basic Education Certificate Examination Practice Test