Question

You want to give your friend a soccer ball for a gift. The soccer ball has a

volume of 85.3π cubic inches. What is the volume of the smallest cube
shaped box that the ball will fit inside?

Answer 1

volume of cube share box = 67.92 inch²

Explanation:

given data

soccer ball volume = 85.3π cubic inches

solution

we know that ball will fit inside the box when box length will be equal to diameter of ball

and here soccer ball volume will be express as

soccer ball volume =
`(4)/(3)* \pi * r^3` .................1

85.3π =
`(4)/(3)* \pi * r^3`

solve it we get

r³ = 69.9765

r = 4.12 inch

so diameter = 2 × 4.12 = 8.24 inch

diameter = length of box side

volume of cube share box = a²

volume of cube share box = 8.24²

volume of cube share box = 67.92 inch²