Question

find the surface area of the rectangular prism.
6 yd
3 yd
4 yd

Explanation:

Step1: Recall surface area formula

The surface area \( S \) of a rectangular prism with length \( l \), width \( w \), height \( h \) is \( S = 2(lw + lh + wh) \). Here, \( l=4 \) yd, \( w=3 \) yd, \( h=6 \) yd.

Step2: Calculate each face area sum

First compute \( lw = 4 \times 3 = 12 \), \( lh = 4 \times 6 = 24 \), \( wh = 3 \times 6 = 18 \). Then sum: \( 12 + 24 + 18 = 54 \).

Step3: Multiply by 2 for total surface area

Multiply the sum by 2: \( 2 \times 54 = 108 \).

Answer:

108 square yards