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vodomira [7]
2 years ago
8

What is the surface area of the rectangular prism

Mathematics
2 answers:
elena-s [515]2 years ago
7 0

Answer:

348in^{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 348in^{2}

In-s [12.5K]2 years ago
3 0

Answer:

The correct answer is option (A) <u>348 </u><u>in</u><u>²</u>.

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}

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