To find the volume of a number cube with side lengths of [tex]\(1 \frac{1}{4}\)[/tex] inches, follow these steps:
1. Convert the Mixed Number to an Improper Fraction:
The mixed number [tex]\(1 \frac{1}{4}\)[/tex] can be converted to an improper fraction:
[tex]\[
1 \frac{1}{4} = 1 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4}
\][/tex]
2. Convert the Improper Fraction to a Decimal:
Convert [tex]\(\frac{5}{4}\)[/tex] to a decimal:
[tex]\[
\frac{5}{4} = 1.25
\][/tex]
3. Using the Side Length to Find the Volume:
The formula for the volume of a cube is given by [tex]\(V = \text{side length}^3\)[/tex]. Using the side length of [tex]\(1.25\)[/tex] inches, we calculate:
[tex]\[
V = 1.25^3
\][/tex]
4. Cube the Side Length:
Calculate [tex]\(1.25^3\)[/tex]:
[tex]\[
1.25^3 = 1.25 \times 1.25 \times 1.25 = 1.953125
\][/tex]
So, the volume of the number cube is [tex]\(1.953125\)[/tex] cubic inches.
