Geometric Shapes and Mensuration Flashcards

What is the volume of a cube with side length 5 cm?

Answer: 125 cm³

Volume of a cube = s³ = 5³ = 125 cm³.

A rectangular box has dimensions 4 cm × 3 cm × 2 cm. What is its volume?

Answer: 24 cm³

Volume = length × width × height = 4 × 3 × 2 = 24 cm³.

What is the total surface area of a cube with side length 6 cm?

Answer: 216 cm²

A cube has 6 identical faces; total surface area = 6 × s² = 6 × 36 = 216 cm².

A cylinder has radius 7 cm and height 10 cm. What is its volume? (Use π = 22/7)

Answer: 1540 cm³

Volume = πr²h = (22/7) × 49 × 10 = 22 × 7 × 10 = 1540 cm³.

What is the volume of a cone with base radius 3 cm and height 7 cm? (Use π = 22/7)

Answer: 66 cm³

Volume = (1/3)πr²h = (1/3) × (22/7) × 9 × 7 = (1/3) × 198 = 66 cm³.

What is the lateral (curved) surface area of a cylinder with radius 7 cm and height 5 cm? (Use π = 22/7)

Answer: 220 cm²

Lateral surface area = 2πrh = 2 × (22/7) × 7 × 5 = 2 × 22 × 5 = 220 cm².

A sphere has a radius of 3 cm. What is its volume to the nearest whole number? (Use π = 22/7)

Answer: 113 cm³

Volume = (4/3)πr³ = (4/3) × (22/7) × 27 = 792/7 ≈ 113 cm³.