To determine the volume of a cube, we use the formula for the volume of a cube, which is given by:
[tex]\[ \text{Volume} = \text{side length}^3 \][/tex]
In your specific question, the side length of the cube is 2.8 inches.
Step-by-step, this is how you proceed to find the volume:
1. Calculate the Volume:
[tex]\[ \text{Volume} = 2.8 \times 2.8 \times 2.8 \][/tex]
[tex]\[ \text{Volume} = 2.8^3 \][/tex]
[tex]\[ \text{Volume} = 21.951999999999995 \, \text{cubic inches} \][/tex]
2. Round to the Nearest Tenth:
The result we got is 21.951999999999995 cubic inches. To round it off to the nearest tenth:
- Look at the hundredths place, which is 5 in 21.951999999999995.
- Because it is 5 or more, we round the tenths place up by one.
Therefore, when rounded to the nearest tenth, the volume is:
[tex]\[ \text{Volume} \approx 22.0 \, \text{cubic inches} \][/tex]
### Final Answer:
The volume of a cube with a side length of 2.8 inches, rounded to the nearest tenth of a cubic inch, is [tex]\( \boxed{22.0} \)[/tex] cubic inches.
