- Basic Math and Science Geometric Area and Volume Questions and Answers Flashcards

A cylindrical water tank has a radius of 3 feet and a height of 10 feet. What is its volume? (Use π ≈ 3.14)

Answer: 282.6 cubic feet

Volume of a cylinder = π × r² × h = 3.14 × 9 × 10 = 282.6 cubic feet.

What is the area of a trapezoid with parallel sides of 8 cm and 12 cm, and a height of 5 cm?

Answer: 50 cm²

Area of a trapezoid = ½ × (b₁ + b₂) × h = ½ × (8 + 12) × 5 = 50 cm².

A cube has a surface area of 96 square inches. What is the length of one side?

Answer: 4 inches

A cube has 6 equal faces, so each face = 96 ÷ 6 = 16 in², and side = √16 = 4 inches.

A cone has a base radius of 4 m and a height of 9 m. What is its volume? (Use π ≈ 3.14)

Answer: 150.72 m³

Volume of a cone = (1/3) × π × r² × h = (1/3) × 3.14 × 16 × 9 = 150.72 m³.

How many square feet of carpet are needed to cover a room that is 15 feet long and 12 feet wide?

Answer: 180 sq ft

Area of a rectangle = length × width = 15 × 12 = 180 square feet.

A sphere has a radius of 6 cm. What is its volume? (Use π ≈ 3.14)

Answer: 904.32 cm³

Volume of a sphere = (4/3) × π × r³ = (4/3) × 3.14 × 216 = 904.32 cm³.

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?

Answer: 120 in³

Volume = (½ × 6 × 4) × 10 = 12 × 10 = 120 in³.