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

Answer 1

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