Question

Find the area of the base of a box of height 4cm and lateral surface area 120cm.sq if its length is twice its breadth.

Answer 1

The area of the base of a box is 1800 cm².

Explanation:

We have:

H: is the height = 4 cm

`A_(l)`: is the lateral surface area = 120 cm

L = 2B

We can find the breadth of the base by using the lateral surface area and the height:

`A_(l) = H*B`

`B = (A)/(H) = (120 cm)/(4 cm) = 30 cm`

Now, if the length is twice its breadth we have:

`L = 2B = 2*30 cm = 60 cm`

Hence, the area of the base is:

`A_(b) = B*L = 60 cm*30 cm = 1800 cm^(2)`

Therefore, the area of the base of a box is 1800 cm².

I hope it helps you!