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​

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

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

Putting , we get

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

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