Question

A fish tank is in the form of a cuboid, external measures of that cuboid are $80$ cm $\times 40$ cm $\times 30$ cm. The base, side faces and back face are to be covered with a coloured paper. Find the area of the paper needed in cm${}^2$

Answer 1

The tank is in the shape of a cuboid.
To find the area of the paper required, we need to calculate the surface area of the cuboidal tank and subtract the area of the top side and the front side.

Total surface area(TSA) of a cuboid of length $l$, breadth $b$ and height $h$ $=2(l\times b+b\times h+l\times h)$
Given length $l=80cm$ ,breadth $b=40cm$ and height $h=30cm$

Total Surface Area of Cuboid

$=2(80\times 40+40\times 30+30\times 80)=2(3200+1200+2400)=13600{cm}^2$

Area of the top side $=80\times 40=3200{cm}^2$

Area of the front side $=80\times 30=2400{cm}^2$

Hence. area of the paper required $=13600-3200-2400=8000{cm}^2$