BMST - Basic Math and Science Geometric Area and Volume Questions and Answers 3 — Questions and Answers
Question 1: A cylindrical water tank has a radius of 3 feet and a height of 10 feet. What is its volume? (Use π ≈ 3.14)
- 188.4 cubic feet
- 282.6 cubic feet (Correct answer)
- 94.2 cubic feet
- 565.2 cubic feet
Correct answer: 282.6 cubic feet
Volume of a cylinder = π × r² × h = 3.14 × 9 × 10 = 282.6 cubic feet.
Question 2: What is the area of a trapezoid with parallel sides of 8 cm and 12 cm, and a height of 5 cm?
- 40 cm²
- 50 cm² (Correct answer)
- 60 cm²
- 100 cm²
Correct answer: 50 cm²
Area of a trapezoid = ½ × (b₁ + b₂) × h = ½ × (8 + 12) × 5 = 50 cm².
Question 3: A cube has a surface area of 96 square inches. What is the length of one side?
- 4 inches (Correct answer)
- 6 inches
- 8 inches
- 16 inches
Correct answer: 4 inches
A cube has 6 equal faces, so each face = 96 ÷ 6 = 16 in², and side = √16 = 4 inches.
Question 4: A cone has a base radius of 4 m and a height of 9 m. What is its volume? (Use π ≈ 3.14)
- 150.72 m³ (Correct answer)
- 452.16 m³
- 75.36 m³
- 301.44 m³
Correct answer: 150.72 m³
Volume of a cone = (1/3) × π × r² × h = (1/3) × 3.14 × 16 × 9 = 150.72 m³.
Question 5: How many square feet of carpet are needed to cover a room that is 15 feet long and 12 feet wide?
- 54 sq ft
- 108 sq ft
- 180 sq ft (Correct answer)
- 27 sq ft
Correct answer: 180 sq ft
Area of a rectangle = length × width = 15 × 12 = 180 square feet.
Question 6: A sphere has a radius of 6 cm. What is its volume? (Use π ≈ 3.14)
- 904.32 cm³ (Correct answer)
- 150.72 cm³
- 452.16 cm³
- 678.24 cm³
Correct answer: 904.32 cm³
Volume of a sphere = (4/3) × π × r³ = (4/3) × 3.14 × 216 = 904.32 cm³.
Question 7: A triangular prism has a triangular base with a base of 6 in and height of 4 in. The prism length is 10 in. What is its volume?
- 120 in³ (Correct answer)
- 240 in³
- 60 in³
- 180 in³
Correct answer: 120 in³
Volume = (½ × 6 × 4) × 10 = 12 × 10 = 120 in³.
BMST - Basic Math and Science Geometric Area and Volume Questions and Answers 3
A cylindrical water tank has a radius of 3 feet and a height of 10 feet.
What is its volume? (Use π ≈ 3.14)