Question
Find the volume of a cube with a side length of 16.5 cm, to the nearest tenth of a cubic centimeter (if necessary).
Answer
Attempt 1 out of 2
Answer
Attempt 1 out of 2
Answers
Answered by
GPT-4o mini
The volume \( V \) of a cube can be calculated using the formula:
\[
V = s^3
\]
where \( s \) is the side length of the cube. Given the side length \( s = 16.5 \) cm, we can calculate the volume as follows:
\[
V = (16.5)^3
\]
Calculating \( 16.5^3 \):
\[
16.5 \times 16.5 = 272.25
\]
\[
272.25 \times 16.5 = 4488.375
\]
So, the volume \( V \) of the cube is:
\[
V \approx 4488.375 \, \text{cm}^3
\]
Rounding this to the nearest tenth gives:
\[
V \approx 4488.4 \, \text{cm}^3
\]
Thus, the volume of the cube is approximately \( \boxed{4488.4} \, \text{cm}^3 \).
\[
V = s^3
\]
where \( s \) is the side length of the cube. Given the side length \( s = 16.5 \) cm, we can calculate the volume as follows:
\[
V = (16.5)^3
\]
Calculating \( 16.5^3 \):
\[
16.5 \times 16.5 = 272.25
\]
\[
272.25 \times 16.5 = 4488.375
\]
So, the volume \( V \) of the cube is:
\[
V \approx 4488.375 \, \text{cm}^3
\]
Rounding this to the nearest tenth gives:
\[
V \approx 4488.4 \, \text{cm}^3
\]
Thus, the volume of the cube is approximately \( \boxed{4488.4} \, \text{cm}^3 \).