Answer:
The correct answer is option (A) 348 in².
Step-by-step explanation:
As per given question we have provided that :
- [tex]\pink\star[/tex] Length of prism = 9 in
- [tex]\pink\star[/tex] Width of prism = 6 in
- [tex]\pink\star[/tex] Height of prism = 8 in
Here's the required formula to find the surface area of rectangular prism :
[tex]\star{\underline{\boxed{\sf{\red{Area = 2\Big(lw + wh + lh\Big)}}}}}[/tex]
- [tex]\purple\star[/tex] l = length
- [tex]\purple\star[/tex] w = width
- [tex]\purple\star[/tex] h = height
Substituting all the given values in the formula to find the surface area of rectangular prism :
[tex]{\implies{\sf{Area = 2\Big(lw + wh + lh\Big)}}}[/tex]
[tex]{\implies{\sf{Area = 2\Big((9 \times 6) + (6 \times 8) + (9 \times 8)\Big)}}}[/tex]
[tex]{\implies{\sf{Area = 2\Big((54) + (48) + (72)\Big)}}}[/tex]
[tex]{\implies{\sf{Area = 2\Big(54 + 48 + 72\Big)}}}[/tex]
[tex]{\implies{\sf{Area = 2\Big(102 + 72\Big)}}}[/tex]
[tex]{\implies{\sf{Area = 2\Big(174\Big)}}}[/tex]
[tex]{\implies{\sf{Area = 2 \times 174}}}[/tex]
[tex]{\implies{\sf{Area = 348}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Area = 348 \: {in}^{2}}}}}}[/tex]
Hence, the surface area of rectangular prism is 348 in².
[tex]\rule{300}{2.5}[/tex]
