Question

A laundry soap company decides it wants to shrink the size of its box to save on cost. The surfacearea of the original box is
. If it creates a new box using a scale factor of
, determine thesurface area of the new box. Round to the nearest tenth if necessary.
(1 point)
112 cm2 3
4
cm2

Answer 1

Scale factor k = 3/4. Surface area scales by k^2 = (3/4)^2 = 9/16.

New surface area = 112 × 9/16 = 112/16 × 9 = 7 × 9 = 63 cm².

So the new box has surface area 63 cm².