Question

-25 Points-

These prisms are similar. Find the surface area of the larger prism. Round to the nearest tenth.

Answer 1

823.7

Explanation:

Answer 2

823.7 m²

Explanation:

If a figure A and a figure B are similar, then

`(area_A)/(area_B)=k^2` (*)

k - similarity scale

Calculate the similarity scale:

`k=(6)/(5)`

We have the surface area of the smaller prism 572 m².

Substitute to the formula (*):

`(x)/(572)=\left((6)/(5)\right)^2\\\\(x)/(572)=(36)/(25)\qquad\text{cross multiply}\\\\25x=(36)(572)\\\\25x=20,592\qquad\text{divide both sides by 25}\\\\x=823.68\approx823.7\ m^2`