Question

The length of a cuboid is twice its breadth. The breadth is twice its height. Find the total surface area of the cuboid. Given that the height of the cuboid is $2\text{cm}$.
[2 Marks]

Answer 1

Given, the height of cuboid is $2\text{cm}$.
Also, it given that the length of a cuboid is twice its breadth and the breadth is twice its height.
$\therefore \text{breadth}=2\times \text{height}=2\times 2=4\text{cm}$
$\text{length}=2\times \text{breadth}=2\times 4=8\text{cm}$
So,
Length, $l=8cm$
Breadth, $b=4cm$
Height, $h=2cm$
[1 Mark]


Total surface area $=2(lb+bh+hl)$
$=2(8\times 4+4\times 2+2\times 8)$
$=112c{m}^2$
[1 Mark]