You have 500cm2 of material available to cover different shapes. What is the maximum volume of each object that you can make with this amount of material?

a) a cube

b) a sphere

Guest Oct 18, 2015

edited by
Guest
Oct 18, 2015

edited by Guest Oct 18, 2015

edited by Guest Oct 18, 2015

#1**+5 **

What you want to do here is use the fact that the surface area is 500cm^{2} to solve for the length of a side of the cube or the radius of the sphere.

Then given those you can find the volume of each.

\(\mbox{A cube has surface area }SA=6s^2 \mbox{where }s \mbox{ is the length of a side.} \\ \mbox{It has volume }V=s^3 \\ \mbox{ }\\ \mbox{A sphere has surface area }SA=4\pi r^2 \\ \mbox{It has volume }V=\dfrac 4 3 \pi r^3\)

Rom
Oct 18, 2015

#1**+5 **

Best Answer

What you want to do here is use the fact that the surface area is 500cm^{2} to solve for the length of a side of the cube or the radius of the sphere.

Then given those you can find the volume of each.

\(\mbox{A cube has surface area }SA=6s^2 \mbox{where }s \mbox{ is the length of a side.} \\ \mbox{It has volume }V=s^3 \\ \mbox{ }\\ \mbox{A sphere has surface area }SA=4\pi r^2 \\ \mbox{It has volume }V=\dfrac 4 3 \pi r^3\)

Rom
Oct 18, 2015