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

Answer:

$V= 2x^3$

The volume is 128cm^3

Step-by-step 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