Question

a metal box that is in shape of cuboid has the following dimensions. the length is 9 inches, width is 2 inches and height is 1. 5 inches. find the total cost of silver coating the entire box if the cost of coating is $2.50 per Sq. inches​

Answer 1

Given:

Length of a box is 9 inches, width is 2 inches and height is 1.5 inches.

The cost of silver coating is $2.50 per sq. inches.

To find:

The total cost of silver coating for the box.

Solution:

The total surface area of a cuboid is

`A=2(lb+bh+hl)`

Where, l is length, b is breadth and h is height.

Putting
`l=9,b=2,h=1.5`, we get

`A=2(9* 2+2* 1.5+1.5* 9)`

`A=2(18+3+13.5)`

`A=2(34.5)`

`A=69`

So, the total surface area of the box is 69 square inches.

Cost of silver coating is $2.50 per sq. inches. So, the cost of silver coating for the box is

`Cost=69* 2.50`

`Cost=172.50`

Therefore, the cost of silver coating for the box is $172.50.