Question
Arushi has gift box that is the shape of a cube to wrap presents. If each side length is
8.5 in, how much space is in the box? Round your answer to the nearest hundredth.
8.5 in, how much space is in the box? Round your answer to the nearest hundredth.
Answers
GPT-4o mini
To find the space inside a cube (which is the volume of the cube), we use the formula for the volume of a cube:
\[
V = s^3
\]
where \(s\) is the length of a side of the cube.
Given that each side length \(s\) is 8.5 inches, we can calculate the volume as follows:
\[
V = (8.5)^3
\]
Now, calculating \(8.5^3\):
\[
8.5 \times 8.5 = 72.25
\]
\[
72.25 \times 8.5 = 613.125
\]
So, the volume of the cube is:
\[
V = 613.125 \text{ cubic inches}
\]
Rounding to the nearest hundredth, the volume of the cube is:
\[
\boxed{613.13} \text{ cubic inches}
\]
\[
V = s^3
\]
where \(s\) is the length of a side of the cube.
Given that each side length \(s\) is 8.5 inches, we can calculate the volume as follows:
\[
V = (8.5)^3
\]
Now, calculating \(8.5^3\):
\[
8.5 \times 8.5 = 72.25
\]
\[
72.25 \times 8.5 = 613.125
\]
So, the volume of the cube is:
\[
V = 613.125 \text{ cubic inches}
\]
Rounding to the nearest hundredth, the volume of the cube is:
\[
\boxed{613.13} \text{ cubic inches}
\]