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a mailing container for posters is made from 87.4 square inches of cardboard the container is in the shape of a triangular prism the base of the prism is an equilateral triangle with 2- inch side lengths and a height of 1.7 inches what is the length of the container

1 Answer

4 votes

Answer:

The length of the container is
14\ in

Explanation:

we know that

The surface area of a triangular prism (a mailing container) is equal to


SA=2B+PL

where

B is the area of the triangular base

P is the perimeter of the triangular base

L is the length of the container

step 1

Find the area of the base B


B=(1)/(2)(2)(1.7)=1.7\ in^(2)

step 2

Find the perimeter of the base P


P=3(2)=6\ in

step 3

Find the length L of the container

we have


SA=87.4\ in^(2)


B=1.7\ in^(2)


P=6\ in

substitute and solve for L


87.4=2(1.7)+(6)L


L=[87.4-2(1.7)]/(6)


L=14\ in

User Quinz
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