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3 years ago

Find the volume of a cube with a side length of 4r3s2.

Mathematics

1 answer:

andrey2020 [161]3 years ago

8 0

Answer:

V = 64 r^(9) * s^(6)

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

V = ( 4r^3s^2) ^3

We know that ( ab) ^c = a^c * b^c

V = 4^3 * r^3^3 * s^2^3

V = 64 * r^3^3 * s^2^3

We know that a^b^c = a^(b*c)

V = 64 r^(3*3) * s^(2*3)

V = 64 r^(9) * s^(6)

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