Question

An aquarium is in the form of a cuboid whose length $\left(l\right)$ is 50 cm, breadth $\left(b\right)$is 40 cm and height $\left(h\right)$ is 30 cm. The base, back face and side faces are to be covered with a coloured paper. Find the area of the paper required to cover the aquarium. (Note that the front face and top face are not covered.)

• A. $5900c{m}^2$
• B. $6900c{m}^2$
• C. $5600c{m}^2$
• D. $4900c{m}^2$

Answer 1

The correct option is A $5900c{m}^2$

Given : The aquarium is in the form of a cuboid.
The length of the aquarium = $l$ = 50 cm

Breadth of the aquarium = $b$ = 40 cm

Height of the aquarium = $h$ = 30 cm

Required area to cover = Area of the base + area of the back face + (2 $\times$ area of the side face)

$\therefore$ Required area to cover = $l\times b+l\times h+2\times b\times h$

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

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

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

$\therefore$ Required area to cover =
$=2000+1500+(2\times 1200)$
= $5900c{m}^2$

Hence the area of the coloured paper required is $5900c{m}^2$.