Multiple choice

A rectangular box has uniform cross-section with length, breadth and height are 4, 2 and 8 cm respectively, then calculate the volume and lateral surface area of the box.

  1. $volume = 64 cm^{3}$, $area = 96 cm^{2}$
  2. $volume = 44 cm^{3}$, $area = 40 cm^{2}$
  3. $volume = 54 cm^{3}$, $area = 40 cm^{2}$
  4. $volume = 24 cm^{3}$, $area = 40 cm^{2}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Volume is calculated as length * breadth * height = 4 * 2 * 8 = 64 cm^3. Lateral surface area is 2 * height * (length + breadth) = 2 * 8 * (4 + 2) = 16 * 6 = 96 cm^2.

AI explanation

The volume of a rectangular box is calculated by multiplying its length, breadth and height, so we multiply 4, 2 and 8 to get a volume of 64 cubic centimeters. The lateral surface area is calculated by multiplying the perimeter of the base by the height, where the perimeter is 2 times the length plus 2 times the breadth. The perimeter is 2 times 4 plus 2 times 2, which equals 12 cm, and multiplying this by the height of 8 cm gives a lateral surface area of 96 square centimeters.

Keep practicing — related questions