# 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)

1 answer

###### 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)

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

## Answers

Answer:[tex]LA=755\ m^{2}[/tex], [tex]SA=785\ m^{2}[/tex]Step-by-step explanation:Part 1) Find the lateral area of the given prismwe know thatThe lateral area of the prism is equal to[tex]LA=PL[/tex]whereP is the perimeter of the triangular baseL is the length of the prismFind the perimeter P[tex]P=5+6+11.21=22.21\ m[/tex]we have [tex]L=34\ m[/tex]substitute[tex]LA=(22.21)(34)=755\ m^{2}[/tex]Part 2) Find the surface area of the given prismwe know thatThe surface area of the prism is equal to[tex]SA=2B+LA[/tex]whereB is the area of the triangular baseLA is the lateral area of the prismFind the area B[tex]B=(1/2)(5)(6)=15\ m^{2}[/tex]we have[tex]LA=755\ m^{2}[/tex]substitute[tex]SA=(2)(15)+755=785\ m^{2}[/tex]

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