Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 16 Page 716

Remember the formula for surface area.

62 cm^2

Practice makes perfect

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.
S=2B+Ph
S=2(10)+( 14)( 3)
S=20+42
S=62
The surface area is 62cm^2.