Question

The length of a room is twice as its breadth and breadth is 6 cm. If it's height is 4 cm, find the total surface area.

Answer 1

The breadth of the room = 6 cm

Since the length of the room is twice its breadth

Then

Length of the room = 2 times 6cm = 12cm

The height of the room = 4cm

Since the shape of the room is a cuboid

The surface area of a cuboid is given as

`SA=2(lh+lw+hw)`

Substitute l = 12, w = 6 and h = 4 into the formula

This gives

`SA=2(12*4+12*6+4*6)_{}`

Simplify the expression

`\begin{gathered} SA=2(48+72+24) \\ SA=2(144) \\ SA=288 \end{gathered}`

Therefore, the total surface area of the room is

`288cm^2`