Question

A manufacturer is designing an open. cube-shaped box to hold a basketball.
The basketball has a volume of 2304m cm'.
Basketball
a) How much cardboard is needed to create the smallest box possible using the least amount of material? Do not include seam overlap in your calculations.

Answer 1

The ball is spherical, therefore
\[V=\frac{ 4 }{ 3 }\pi r^{3}=2304\]
where r is the radius of the ball
Each side of the square must be 2r
You can calculate the volume of the box
\[v=\left( 2r \right)^{3}\]
And the surface area as
\