Constructions

Q. A circular pond has a radius of 7 meters. What is the circumference of the pond? (Use π = 22/7)

Solution

Circumference = 2πr = 2 × (22/7) × 7 = 44 meters.

Correct Answer: A — 44 meters

Q. A cylinder has a radius of 3 cm and a height of 5 cm. What is its volume? (Use π = 3.14)

Solution

Volume = πr²h = 3.14 × 3² × 5 = 3.14 × 9 × 5 = 141.3 cm³.

Correct Answer: B — 28.26 cm³

Q. A rectangular garden is 20 meters long and 15 meters wide. What is the area of the garden?

Solution

Area = length × width = 20 × 15 = 300 square meters.

Correct Answer: A — 300 square meters

Q. A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. Is it a right triangle?

Solution

5² + 12² = 25 + 144 = 169 = 13², so it is a right triangle.

Correct Answer: A — Yes

Q. If a triangle has a base of 10 cm and a height of 5 cm, what is its area?

Solution

Area = 1/2 × base × height = 1/2 × 10 × 5 = 25 cm².

Correct Answer: A — 25 cm²

Q. What is the area of a trapezoid with bases of 8 cm and 5 cm, and a height of 4 cm?

Solution

Area = 1/2 × (base1 + base2) × height = 1/2 × (8 + 5) × 4 = 26 cm².

Correct Answer: A — 26 cm²

Q. What is the volume of a cube with a side length of 4 cm?

Solution

Volume = side³ = 4³ = 64 cm³.

Correct Answer: A — 64 cm³

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