Question

33.use formulas to find the lateral area and surface area of the given prism round your answer to the nearest whole number.

(please answer ASAP if you have the answers to the rest of the exam I'll take them too please)​

Answer 1

`LA=755\ m^(2)`,
`SA=785\ m^(2)`

Explanation:

Part 1) Find the lateral area of the given prism

we know that

The lateral area of the prism is equal to

`LA=PL`

where

P is the perimeter of the triangular base

L is the length of the prism

Find the perimeter P

`P=5+6+11.21=22.21\ m`

we have

`L=34\ m`

substitute

`LA=(22.21)(34)=755\ m^(2)`

Part 2) Find the surface area of the given prism

we know that

The surface area of the prism is equal to

`SA=2B+LA`

where

B is the area of the triangular base

LA is the lateral area of the prism

Find the area B

`B=(1/2)(5)(6)=15\ m^(2)`

we have

`LA=755\ m^(2)`

substitute

`SA=(2)(15)+755=785\ m^(2)`