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