Using the formula V = B × h, what is the volume of a rectangular prism with a length of 7 1/4 m, a width of 10 1/2 m, and a height of 12 2/5 m? The answer will be a mixed fraction in cubic meters
To solve, we plug in the given values into the formula:
V = B × h
V = (7 1/4 m) × (10 1/2 m) × (12 2/5 m)
Now we need to turn all the mixed numbers into improper fractions:
V = (29/4 m) × (21/2 m) × (62/5 m)
To multiply these fractions, we can first simplify:
V = (29/2 m) × (31/5 m)
V = (899/10 m²) × m
V = 899/10 m³
But we need to write the answer as a mixed fraction, so we divide the numerator by the denominator:
899 ÷ 10 = 89 with a remainder of 9
Therefore, the volume is:
V = 89 9/10 m³