Question

What is the surface area of the rectangular prism

Answer 1

348
`in^(2)`

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

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 * 6) + (6 * 8) + (9 * 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 * 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}`