Question

if 2 prisms have a side ratio of 3:4, and the smaller one has a surface area of 300sq in what is the SA of the larger?

Answer 1

In general, two similar solids have the following properties:
Length ratio - a:b
Area ratio - a^2:b^2
Volume ratio - a^3:b^3

In this case, we have two similar prisms with:
Length ratio - 3:4 , which means
Area ratio - 3^2: 4^2

If the surface area of the smaller prism is 300 sq ft, then this means we setup the following ratio:

300/9 = x/16

In other words,

9x = 300*16
9x = 4800
x = 4800/9
x = 533.333

Therefore, the larger prism has a surface area of 533 and 1/3 sq. ft

Answer 2

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Answer 3

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