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

Question

2 years ago

14

the box change?

1 answer:

Blababa [14] · Answer 1 · 2023-06-15T17:34:12+03:00

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

<h3>How to determine the surface area</h3>

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