Question

What is the surface area of the rectangular prism

Answer 1

Answer:

348$in^{2}$

Step-by-step explanation:

9x8=72

9x6=54

8x6=48

72+72=144

54+54=108

48+48=96

144+108=252

252+96=348

Hence, counting the WHOLE surface are of the rectangular prism, the answer is 348$in^{2}$

Answer 2

Answer:

The correct answer is option (A) 348 in².

Step-by-step explanation:

As per given question we have provided that :

• $\pink\star$ Length of prism = 9 in
• $\pink\star$ Width of prism = 6 in
• $\pink\star$ Height of prism = 8 in

Here's the required formula to find the surface area of rectangular prism :

$\star{\underline{\boxed{\sf{\red{Area = 2\Big(lw + wh + lh\Big)}}}}}$

• $\purple\star$ l = length
• $\purple\star$ w = width
• $\purple\star$ h = height

Substituting all the given values in the formula to find the surface area of rectangular prism :

${\implies{\sf{Area = 2\Big(lw + wh + lh\Big)}}}$

${\implies{\sf{Area = 2\Big((9 \times 6) + (6 \times 8) + (9 \times 8)\Big)}}}$

${\implies{\sf{Area = 2\Big((54) + (48) + (72)\Big)}}}$

${\implies{\sf{Area = 2\Big(54 + 48 + 72\Big)}}}$

${\implies{\sf{Area = 2\Big(102 + 72\Big)}}}$

${\implies{\sf{Area = 2\Big(174\Big)}}}$

${\implies{\sf{Area = 2 \times 174}}}$

${\implies{\sf{Area = 348}}}$

$\star{\underline{\boxed{\sf{\red{Area = 348 \: {in}^{2}}}}}}$

Hence, the surface area of rectangular prism is 348 in².

$\rule{300}{2.5}$