Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 6 Page 716

Remember the formula for the surface area of a right prism.

298 in.^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 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.
S=2B+Ph
S=2( 25.2)+( 20.6)(12)
S=50.4+247.2
S=297.6
S ≈ 298
The surface area is about 298in.^2.