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

Respuesta :

Answer:

[tex]V= 2x^3[/tex]

The volume is 128cm^3

Step-by-step explanation:

Given

[tex]Cubes = 2[/tex]

[tex]Sides = 4cm[/tex]

Required

Determine an expression for its volume

Find the volume

Volume of a cube is:

[tex]Volume = x^3[/tex]

Where x represents the length of a side

So, volume of 2 cubes would be:

[tex]V= x^3 + x^3[/tex]

[tex]V= 2x^3[/tex]

Solving (b): Volume when x = 4

Substitute 3 for x in [tex]V= 2x^3[/tex]

[tex]V = 2 * 4^3[/tex]

[tex]V = 2 * 64[/tex]

[tex]V = 128[/tex]

Hence, the volume is 128cm^3

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