BMST Geometric Area and Volume 2 — Questions and Answers
Question 1: A rectangular swimming pool is 25 meters long and 10 meters wide. What is the area of the pool's surface?
- 250 square meters (Correct answer)
- 70 square meters
- 350 square meters
- 125 square meters
Correct answer: 250 square meters
Area of a rectangle = length × width = 25 × 10 = 250 square meters.
Question 2: A cylindrical water tank has a radius of 3 feet and a height of 8 feet. What is its volume? (Use π ≈ 3.14)
- 226.08 cubic feet (Correct answer)
- 75.36 cubic feet
- 452.16 cubic feet
- 150.72 cubic feet
Correct answer: 226.08 cubic feet
Volume of a cylinder = π × r² × h = 3.14 × 9 × 8 = 226.08 cubic feet.
Question 3: A triangular plot of land has a base of 60 feet and a height of 40 feet. What is its area?
- 1,200 square feet (Correct answer)
- 2,400 square feet
- 600 square feet
- 1,800 square feet
Correct answer: 1,200 square feet
Area of a triangle = ½ × base × height = ½ × 60 × 40 = 1,200 square feet.
Question 4: What is the volume of a cube with a side length of 5 cm?
- 125 cubic cm (Correct answer)
- 25 cubic cm
- 75 cubic cm
- 250 cubic cm
Correct answer: 125 cubic cm
Volume of a cube = side³ = 5³ = 125 cubic centimeters.
Question 5: A circle has a diameter of 14 inches. What is its area? (Use π ≈ 3.14)
- 153.86 square inches (Correct answer)
- 43.96 square inches
- 615.44 square inches
- 87.92 square inches
Correct answer: 153.86 square inches
Radius = 7 inches; Area = π × r² = 3.14 × 49 = 153.86 square inches.
Question 6: A rectangular box is 4 inches long, 3 inches wide, and 2 inches tall. What is its volume?
- 24 cubic inches (Correct answer)
- 26 cubic inches
- 48 cubic inches
- 12 cubic inches
Correct answer: 24 cubic inches
Volume = length × width × height = 4 × 3 × 2 = 24 cubic inches.
Question 7: A trapezoid has parallel sides of 8 cm and 12 cm and a height of 5 cm. What is its area?
- 50 square cm (Correct answer)
- 60 square cm
- 40 square cm
- 100 square cm
Correct answer: 50 square cm
Area of a trapezoid = ½ × (b₁ + b₂) × h = ½ × (8 + 12) × 5 = 50 square cm.
BMST Geometric Area and Volume 2
A rectangular swimming pool is 25 meters long and 10 meters wide.
What is the area of the pool's surface?