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

Answer:

$1,715\ in^{2}$

Step-by-step 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

$z^{2}=\frac{x}{y}$

we have

$z=7$

$y=35\ in^{2}$

substitute

$7^{2}=\frac{x}{35}$

$x=7^{2}(35)=1,715\ in^{2}$