Question

Find the surface area of the prism. 9 in. 14 in. 3 in.
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Answer 1

The surface area of rectangular prism is 390 in²

Explanation:

As per given question we have provided that :

• 
  `\star` Length of prism = 9 in
• 
  `\star` Width of prism = 3 in
• 
  `\star` Height of prism = 14 in

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

`\star\boxed{\text{Area}=2(\text{lw}+\text{wh}+\text{lh})}`

• 
  `\star` l = length
• 
  `\star` w = width
• 
  `\star` h = height

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

`\implies \text{Area}=2(\text{lw}+\text{wh}+\text{lh})`

`\implies \text{Area}=2[(9*3)+(3*14)+(14*9)]`

`\implies \text{Area}=2[(27)+(42)+(126)]`

`\implies \text{Area}=2[27+42+126]`

`\implies \text{Area}=2[69+126]`

`\implies \text{Area}=2[195]`

`\implies \text{Area}=2*195`

`\implies \text{Area}=390`

`\star\boxed{\text{Area}=390 \ \text{in}^2}`

Hence, the surface area of rectangular prism is 390 in².

`\rule{300}{1.5}`