Question

quiz 3: volumes of solids
morgan is wrapping a present. the gift is a right rectangular prism with a base measuring 15 inches by 12 inches and a height of 8 inches. what is the surface area of the
gift?
672 in²
720 in²
744 in²
792 in²

Explanation:

Step1: Recall surface area formula for rectangular prism

The formula for the surface area \( SA \) of a right rectangular prism with length \( l \), width \( w \), and height \( h \) is \( SA = 2(lw + lh + wh) \). Here, \( l = 15 \) in, \( w = 12 \) in, \( h = 8 \) in.

Step2: Calculate each term

First, calculate \( lw \): \( 15\times12 = 180 \).
Then, \( lh \): \( 15\times8 = 120 \).
Next, \( wh \): \( 12\times8 = 96 \).

Step3: Sum the terms and multiply by 2

Sum the three terms: \( 180 + 120 + 96 = 396 \).
Multiply by 2: \( 2\times396 = 792 \).

Answer:

\( 792 \text{ in}^2 \)