Question

if the total surface area of a cube is 384mm sq. find its volume​

Answer 1

Answer:

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Step-by-step explanation:

Hope helpful for you

Answer 2

Answer:

Volume of cube = 512$mm^{3}$

Step-by-step explanation:

According to the information provided in the question it is given as

Total surface area of a cube = 384 mm sq.

We need to find its volume.

First understand the definition of cube

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges

As surface area of cube = $6a^{2}$

    ( Where a is the edge size )

Putting the values we get (a)

[tex]384 =6a^{2} \\ a^{2}=\frac{384}{6} \\ a^{2}=64\\ [/tex]

Hence

[tex]a=\sqrt{64} \\ a= 8 mm^{2} [/tex]

Now we find the volume

Volume of cube = [tex]a^{3} \\ [/tex]

[tex]V= 8^{3} \\ V= 8\times 8\times 8\\ V = 512 mm^{3} [/tex]