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 5cm and 2cm. We know that the perimeter of a rectangle is the sum of all its side lengths.
P=& 5+ 2+ 5+ 2
&⇓
P=& 14cm
The area of the rectangle is calculated by multiplying the rectangle's length.
B= 5* 2 ⇒ B=10cm^2
We are also given that the height is 3cm. Let's substitute all of these values into the formula for the surface area and calculate it.