Question

An artist plans a sculpture by stacking two cubes. Write an algebraic expression the artist can use to find the volume of the sculpture. Then find the volume of the sculpture when x = 4cm. *Hint: V=s3

Answer 1

`V= 2x^3`

The volume is 128cm^3

Explanation:

Given

`Cubes = 2`

`Sides = 4cm`

Required

Determine an expression for its volume

Find the volume

Volume of a cube is:

`Volume = x^3`

Where x represents the length of a side

So, volume of 2 cubes would be:

`V= x^3 + x^3`

`V= 2x^3`

Solving (b): Volume when x = 4

Substitute 3 for x in
`V= 2x^3`

`V = 2 * 4^3`

`V = 2 * 64`

`V = 128`

Hence, the volume is 128cm^3