BECE Geometric Shapes and Mensuration 3 — Questions and Answers
Question 1: What is the volume of a cube with side length 5 cm?
- 25 cm³
- 125 cm³ (Correct answer)
- 75 cm³
- 100 cm³
Correct answer: 125 cm³
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?
- 9 cm³
- 14 cm³
- 24 cm³ (Correct answer)
- 48 cm³
Correct answer: 24 cm³
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?
- 36 cm²
- 216 cm² (Correct answer)
- 144 cm²
- 72 cm²
Correct answer: 216 cm²
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)
- 440 cm³
- 1540 cm³ (Correct answer)
- 3080 cm³
- 770 cm³
Correct answer: 1540 cm³
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)
- 66 cm³ (Correct answer)
- 198 cm³
- 22 cm³
- 33 cm³
Correct answer: 66 cm³
Volume = (1/3)πr²h = (1/3) × (22/7) × 9 × 7 = (1/3) × 198 = 66 cm³.
Question 6: What is the lateral (curved) surface area of a cylinder with radius 7 cm and height 5 cm? (Use π = 22/7)
- 110 cm²
- 220 cm² (Correct answer)
- 440 cm²
- 154 cm²
Correct answer: 220 cm²
Lateral surface area = 2πrh = 2 × (22/7) × 7 × 5 = 2 × 22 × 5 = 220 cm².
Question 7: A sphere has a radius of 3 cm. What is its volume to the nearest whole number? (Use π = 22/7)
- 113 cm³ (Correct answer)
- 28 cm³
- 339 cm³
- 57 cm³
Correct answer: 113 cm³
Volume = (4/3)πr³ = (4/3) × (22/7) × 27 = 792/7 ≈ 113 cm³.
BECE Geometric Shapes and Mensuration 3
What is the volume of a cube with side length 5 cm?