Question

The rectangular prism shown has a surface area of 426 square inches. the height is 9, the width is 5, the length is unknown. what is the length of the prism

Answer 1

The surface area of a rectangular prism is:

A=2(LW+LH+WH)

LW+LH+WH=A/2

LW+LH=(A/2)-WH

L(W+H)=[(A/2)-WH]

L=[(A/2)-WH]/(W+H), we are told that A=426, H=9, and W=5 so:

L=(426/2-5*9)/(5+9)

L=(213-45)/(14)

L=168/14

L=12 in

Answer 2

12 according to your ttm.