Respuesta :

Krystal3375

Step-by-step explanation:

Given

Area of the cube (A) = 64 cm²

Now

The volume of the cube (V)

[tex]v \: = {a}^{ \frac{3}{2} } \\ v \: = 64 ^{ \frac{3}{2} } \\ v = 8 ^{ \frac{3 \times 2}{2} } \\ v \: = {8}^{3} \\ v = 512cm ^{3} [/tex]

Hope it will help :)❤

evanc7515

Answer:

512 cm³

Step-by-step explanation:

Let us understand the letters in the formula first. The rest is really quite simple.

V = volume

A = area

Let's substitute the known area in for A

V = 64^3/2

Solve for V

64^3/2 = 512

V = 512

Hence, the volume of the cube is 512 cm³

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