Question

A cube has an edge length of 1818 inches. What is its volume, in cubic inches?

Answer 1

To find the volume of a cube, you use the formula:

\[
V = s^3
\]

where \( V \) is the volume and \( s \) is the length of an edge of the cube.

Given that the edge length \( s \) is 1818 inches, we can calculate the volume as follows:

\[
V = 1818^3
\]

To compute \( 1818^3 \):

1. First, calculate \( 1818^2 \):
\[
1818^2 = 1818 \times 1818
\]
We can break this down:
\[
1818 \times 1818 = 1818 \times (1800 + 18) = 1818 \times 1800 + 1818 \times 18
\]
Calculate each part:
\[
1818 \times 1800 = 3272400
\]
\[
1818 \times 18 = 32724
\]
Now, combine these results:
\[
1818^2 = 3272400 + 32724 = 3305124
\]

2. Now, calculate \( 1818^3 \):
\[
V = 1818 \times 1818^2 = 1818 \times 3305124
\]

We can multiply these together:
\[
1818 \times 3305124 = 6012341872
\]

Therefore, the volume of the cube is:

\[
\boxed{6012341872} \text{ cubic inches}
\]