Question

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

Answer 1

Answer:

$LA=755\ m^{2}$, $SA=785\ m^{2}$

Step-by-step 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

$SA=(2)(15)+755=785\ m^{2}$