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Solving Problems involving cubic Functions

The radius of a sphere is 1. Find volume of sphere?

The radius of a sphere is 3\sqrt{3} . Find volume of sphere?

A box without cover is to be constructed from a rectangular cardboard, measuring 6 cm by 10 cm by cutting out four square corners of length x cm.Let V represent the volume of the box. Find volume V of the for x=2.


The radius of a sphere is 3. Find volume of sphere?


A box without cover is to be constructed from a rectangular cardboard, measuring 9 cm by 7 cm by cutting out four square corners of length x cm.Let V represent the volume of the box. Find the volume V of the box if x=3

Write cubic function to solve given problems:

The length of a side of cube is 3. Find volume of cube ?

The length of a side of cube is x. Find volume of cube if x=3.

A box without cover is to be constructed from a rectangular cardboard, measuring 4 cm by 2 cm by cutting out four square corners of length x cm.Let V represent the volume of the box. Find the volume V of the box if x=1.


Consider a situation in which a rectangular piece of cardboard is folded into a box. The folding is made possible by cutting squares out of the four corners of the cardboard. The maximum volume possible of a box made from a sheet of cardboard 16" x 10" is v(x)=(16x)(102x)xv(x)=(16−x)(10−2x)x  . Find volume if x=4

Consider a situation in which a rectangular piece of cardboard is folded into a box. The folding is made possible by cutting squares out of the four corners of the cardboard. The maximum volume possible of a box made from a sheet of cardboard 6" x 4"is v(x)=(6x)(42x)xv(x)=(6−x)(4−2x)x  . Find volume if x=2.