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

A rectangular swimming pool is 25 m long, 10 m wide, and 2 m deep. How many cubic meters of water does it hold?

Answer: 500 m³

Volume = length × width × depth = 25 × 10 × 2 = 500 m³.

What is the circumference of a circle with a diameter of 14 inches? (Use π ≈ 3.14)

Answer: 43.96 inches

Circumference = π × d = 3.14 × 14 = 43.96 inches.

A parallelogram has a base of 9 cm and a height of 7 cm. What is its area?

Answer: 63 cm²

Area of a parallelogram = base × height = 9 × 7 = 63 cm².

A box is 8 inches long, 5 inches wide, and 3 inches tall. What is its total surface area?

Answer: 158 in²

SA = 2(lw + lh + wh) = 2(40 + 24 + 15) = 2 × 79 = 158 in².

The radius of a circle is doubled. How does its area change?

Answer: It quadruples

Since A = πr², doubling r gives π(2r)² = 4πr², so the area becomes 4 times larger.

A semicircle has a diameter of 10 m. What is its area? (Use π ≈ 3.14)

Answer: 39.25 m²

Area of a semicircle = ½ × π × r² = 0.5 × 3.14 × 25 = 39.25 m².

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?

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.