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
What you want to do here is use the fact that the surface area is 500cm2 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.
A cube has surface area SA=6s2where s is the length of a side.It has volume V=s3 A sphere has surface area SA=4πr2It has volume V=43πr3
What you want to do here is use the fact that the surface area is 500cm2 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.
A cube has surface area SA=6s2where s is the length of a side.It has volume V=s3 A sphere has surface area SA=4πr2It has volume V=43πr3