Question

A rectangular prism measures 3ft by 6ft by 5ft. If the dimensions of the box were all quadrupled. How would the surface area of the box change?

Answer 1

The surface area of a shape is the amount of space on the shape

When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area

How to determine the surface area

The surface area of a rectangular prism is:

$S = 2 * (lw + lh + wh)$

When quadrupled, we have:

$S_2 = 2 * (16lw + 16lh + 16wh)$

Factor out 16

$S_2 =16 * 2 * (lw + lh + wh)$

Substitute $S = 2 * (lw + lh + wh)$

$S_2 =16 * 2 * S$

The above means that:

The new surface area would be 16 times the initial surface area

Read more about surface areas at:

brainly.com/question/24571594