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Tye space diagonal of a cube measures 8√3 cm. What is the volume of the cube?
Question

Tye space diagonal of a cube measures 8√3 cm. What is the volume of the cube?

A.

512 cm3^3​​

B.

1536√3 cm3^3

C.

510 cm3^3

D.

1536 cm3^3

Correct option is A

Given:

diagonal of a cube measures 8√3

Formula Used:

diagonal of a cube measures =a√3

volume of  cube = a3^3 cm3^3

Solution:

diagonal of a cube measures =a√3 =8√3

a=8

volume of  cube = a3^3

=83^3 cm3^3

                          =512cm3^3

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