Question

The surface area of a rectangular prism is 35 square inches. What is the surface area of a similar solid with dimensions that have been enlarged by a scale factor of 7?

Answer 1

`1,715\ in^(2)`

Explanation:

we know that

If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> surface area of the enlarged figure

y----> surface area of the original figure

`z^(2)=(x)/(y)`

we have

`z=7`

`y=35\ in^(2)`

substitute

`7^(2)=(x)/(35)`

`x=7^(2)(35)=1,715\ in^(2)`