Question

An aquarium is in the form of a cuboid whose external measures are 50 cm × 40 cm × 30 cm. The base, side faces, and back face are to be covered with a colored paper. Find the area of the paper needed?

• A. 6200
• B. 6400
• C. 5600
• D. 6800

Answer 1

The correct option is A 6200

The length of the aquarium = l = 50 cm

Width of the aquarium = b = 40 cm

Height of the aquarium = h = 30 cm

Area of the base = l × b = 50 × 40 = 2000 $c{m}^2$

Area of the side face = b × h = 40 × 30 = 1200 $c{m}^2$

Area of the back face = l × h = 50 × 30 = 1500 $c{m}^2$

Required area = Area of the base + area of the back face + (2 × area of a side face)

= 2000 + 1200 + (2 × 1500) = 6200 $c{m}^2$

Hence the area of the coloured paper required is 6200 $c{m}^2$.