BMST - Basic Math and Science Geometric Area and Volume Questions and Answers 3

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)

Accepted Answer

282.6 cubic feet

Answer

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?

Accepted Answer

50 cm²

Answer

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?

Accepted Answer

4 inches

Answer

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)

Accepted Answer

150.72 m³

Answer

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?

Accepted Answer

180 sq ft

Answer

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

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