BMST - Basic Math and Science Geometric Area and Volume Questions and Answers 4 — Questions and Answers
Question 1: A rectangular swimming pool is 25 m long, 10 m wide, and 2 m deep. How many cubic meters of water does it hold?
- 250 m³
- 500 m³ (Correct answer)
- 125 m³
- 1000 m³
Correct answer: 500 m³
Volume = length × width × depth = 25 × 10 × 2 = 500 m³.
Question 2: What is the circumference of a circle with a diameter of 14 inches? (Use π ≈ 3.14)
- 21.98 inches
- 43.96 inches (Correct answer)
- 153.86 inches
- 87.92 inches
Correct answer: 43.96 inches
Circumference = π × d = 3.14 × 14 = 43.96 inches.
Question 3: A parallelogram has a base of 9 cm and a height of 7 cm. What is its area?
- 31.5 cm²
- 16 cm²
- 63 cm² (Correct answer)
- 126 cm²
Correct answer: 63 cm²
Area of a parallelogram = base × height = 9 × 7 = 63 cm².
Question 4: A box is 8 inches long, 5 inches wide, and 3 inches tall. What is its total surface area?
- 158 in² (Correct answer)
- 120 in²
- 79 in²
- 240 in²
Correct answer: 158 in²
SA = 2(lw + lh + wh) = 2(40 + 24 + 15) = 2 × 79 = 158 in².
Question 5: The radius of a circle is doubled. How does its area change?
- It doubles
- It triples
- It quadruples (Correct answer)
- It stays the same
Correct answer: It quadruples
Since A = πr², doubling r gives π(2r)² = 4πr², so the area becomes 4 times larger.
Question 6: A semicircle has a diameter of 10 m. What is its area? (Use π ≈ 3.14)
- 78.5 m²
- 39.25 m² (Correct answer)
- 157 m²
- 31.4 m²
Correct answer: 39.25 m²
Area of a semicircle = ½ × π × r² = 0.5 × 3.14 × 25 = 39.25 m².
Question 7: A rectangular garden measures 20 ft by 15 ft. A path 2 ft wide runs along the inside edge. What is the area of the path?
- 124 sq ft (Correct answer)
- 100 sq ft
- 176 sq ft
- 60 sq ft
Correct answer: 124 sq ft
Outer area = 300 sq ft; inner area = (20−4) × (15−4) = 16 × 11 = 176 sq ft; path = 300 − 176 = 124 sq ft.
BMST - Basic Math and Science Geometric Area and Volume Questions and Answers 4
A rectangular swimming pool is 25 m long, 10 m wide, and 2 m deep.
How many cubic meters of water does it hold?