Question

type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s).
the formula for the volume of a cube is ( s^{3} ), where ( s ) is the length of one side.
glendale gourmet sells cheese cubes with a side length of 2 centimeters. the volume of each cheese cube
is cubic centimeters.
the manager is considering selling cheese cubes with a side length of 4 centimeters. the volume of each cheese cube would
be cubic centimeters.
the volume of the larger cheese cube is times larger than the smaller cheese cube.

Explanation:

Step1: Calculate the volume of the smaller cube

The formula for the volume of a cube is \(V = s^{3}\). Given \(s = 2\) cm.
\(V_{1}=2^{3}=2\times2\times2 = 8\)

Step2: Calculate the volume of the larger cube

Given \(s = 4\) cm.
\(V_{2}=4^{3}=4\times4\times4=64\)

Step3: Find the ratio of the volumes

The ratio \(r=\frac{V_{2}}{V_{1}}\).
\(r=\frac{64}{8}=8\)

Answer:

8, 64, 8