Question

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The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.) A triangular prism is shown with 2 right triangular sides having legs 8 and 6 and hypotenuse 10. The length of the prism is 8.5

Answer 1

The surface area of the prism is 252 square units

Explanation:

we know that

The surface area of the prism is equal to

`SA=2B+PL`

where

B is the area of the base of the prism

P is the perimeter of the base

L is the length or the height of the prism

step 1

Find the area of the triangular base B

The area of triangular base B is

`B=(1)/(2)(8)(6)=24\ units^2`

The perimeter of the triangular base P is

`P=8+6+10=24\ units`

we have

`L=8.5\ units`

substitute the values in the formula

`SA=2(24)+24(8.5)=252\ units^2`