A laundry soap company decides it wants to shrink the size of its box to save on cost. The surface area of the original box is 112 cm2 . If it creates a new box using a scale factor of 34 , determine the surface area of the new box. Round to the nearest tenth if necessary.(1 point) cm2

Question

Select One

Answer 1

To find the surface area of the new box after applying a scale factor, you need to square the scale factor and then multiply it by the original surface area.

Given:

• Original surface area = 112 cm²
• Scale factor = 34

First, square the scale factor: \[ 34^2 = 1156 \]

Now, multiply the original surface area by this square: \[ \text{New surface area} = 112 , \text{cm}^2 \times 1156 = 129792 , \text{cm}^2 \]

So, the surface area of the new box is approximately 129792 cm².