We are given the following right prism and we want to find its surface area.
To calculate the surface area of a right prism, we can use the following formula, where P is the perimeter of the base, h is the height, and B is the area of the base.
S=2B+Ph
The base of the right prism is a rectangle with the side lengths of 4inches and 6.3inches. We know that the perimeter of a rectangle is the sum of all its side lengths.
P&= 4+ 6.3+ 4+ 6.3
& ⇓
P&= 20.6in.
The area of the rectangle is calculated by multiplying the rectangle's length.
B= 4* 6.3 ⇒ B= 25.2in.^2
We are also given that the height of the prism is 12inches. Let's substitute all of these values into the formula for the surface area and calculate it.