PROBLEM:
A box in the shape of rectangular prism has a length 25 meters, width 15 meters, and height 10 meters. What is the surface area of the box in square meters? What is the formula you need to use to solve the problem?
SOLUTION:
In order to find the surface area of the given rectangular prism, we will use the formula [tex] \tt SA=2(wl+hl+hw)[/tex], in which SA is the surface area, w stands for the width, h for the height while l for the length.
Formula:
[tex]\large\tt SA=2 \: (wl+hl+hw) [/tex]
Solve:
[tex] \large\begin{array}{l} \tt SA=2 \: (wl+hl+hw) \\ \tt SA=2 \: [(15 \: m)(25 \: m)+(10 \: m)(25 \: m)+(10 \: m)(15 \: m)] \\ \tt SA=2 \: (375 \: m {}^{2} + 250 \: m {}^{2} + 150 \: m {}^{2} ) \\ \tt SA = 2 \: (775 \: m {}^{2} ) \\ \tt SA = 1550 \: {m}^{2} \end{array}[/tex]
Final Answer:
[tex]\large\tt SA = 1550 \: {m}^{2}[/tex]
ANSWER:
Using the formula [tex]\blue{ \tt SA=2(wl+hl+hw)}[/tex], you'll obtain [tex] \blue{\tt 1550 \: m {}^{2} }[/tex] as the surface area of the given rectangular prism.
