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.
To find the surface area of the new box, we need to calculate the scale factor.
The scale factor is the ratio of the new surface area to the original surface area.
Surface area of the new box = scale factor * Surface area of the original box
Surface area of the new box = 34 * 112 cm²
Surface area of the new box = 3808 cm²
Therefore, the surface area of the new box is 3808 cm².