Question

An aquarium is in the form of a cuboid whose external measures are $70\text{cm}\times 28\text{cm}\times 35\text{cm}$. The base, side faces, and back faces are to be covered with colored paper. Find the area of the paper needed.

Answer 1

Given:-

Length of the aquarium, $l=70\text{cm}$

Breadth of the aquarium, $b=28\text{cm}$

Height of the aquarium, $h=35\text{cm}$

Now,

Area of base $=70\times 28{\text{cm}}^3$

$=1960{\text{cm}}^3$

Area of side face $=(28\times 35)\times 2{\text{cm}}^2$

$=1960{\text{cm}}^2$

Area of back face $=70\times 35{\text{cm}}^2$

$=2450{\text{cm}}^2$

Thus, the total area $=1960+1960+2450$

$=6370{\text{cm}}^2$

Hence, area of paper required is $6370{\text{cm}}^2.$