Question

1. A small box in the shape of a cube for packaging has a volume of 64 cubic inches.

(a) For a medium box, the length, width, and height are all doubled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Show your work.
(b) What is the volume of a medium box? Show your work.

Answer 1

b) the volume is 512"^3

a) the side and base ratio is 16/64 1/4

the volume ratio is 64/512 1/8

Explanation:

the small boxes dimensions are 4 by 4 by 4

the base and sides are 16"^2

the volume is 64"^3

the medium boxes are 8 by 8 by 8

the base and sides are 64"^2

the volume is 512"^3

the side and base ratio is 16/64 1/4

the volume ratio is 64/512 1/8