Question

Question:
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 $112 \text{ cm}^2$. If it creates a new box using a scale factor of $\frac{3}{4}$, determine the surface area of the new box. Round to the nearest tenth if necessary. (1 point)

Answer 1

Surface area scales by the square of the linear scale factor. With k = 3/4, k^2 = 9/16.

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