Question

a moving box in the shape of a right rectangular prism has a base area of 5 5/8 ft² and a height of 3 1/5 ft what is the volume of the moving box​

Answer 1

18 ft^3

Explanation:

The volume of a right rectangular prism is the area of the base multiplied by the height.

V = Ah

V = (5 5/8 ft^2) * (3 1/5 ft)

First, we convert the mixed numerals into fractions.

V = 45/8 ft^2 * 16/5 ft

Now we multiply the fractions.

V = (45 * 16)/(8 * 5) ft^3

Factor 45 into 5 * 9. Factor 16 into 2 * 8.

V = (5 * 9 * 2 * 8)/(8 * 5) ft^3

We can divide the numerator and denominator by 5 and by 8 before doing the multiplications.

V = (9 * 2)/1 ft^3

V = 18 ft^3