Question

Wendy made two rectangular prism jewelry boxes, one small and one large. The dimensions of the large jewelry box are three

times the dimensions of the small jewelry box. If the surface area of the small jewelry box is 79 cm2, what is the surface area of the
large jewelry box?
A. 474 cm squares
B. 237 cm squared
C. 711 squared
D. 2,133 cm squared

Answer 1

C

Explanation:

The scale factor is a quantity that "scales" another quantity.

Since, the dimensions of large is "3 times" that of the smaller box, the scale factor is 3.

This means, that we can multiply any dimension (length, width, or height) of the small box by 3 to get respective dimension of large box.

Remember, to get area, we need to multiply by scale factor squared. To get volume, we need to multiply by scale factor cubed.

Since, surface area is given of smaller box, we need to multiply by scale factor squared (3^2 = 9) to get surface area of larger box.

Hence, 79 * 9 = 711 cm^2

C is the correct answer.