Question

The formula A=6V^2/3 related the surface Area ‘A’, in square units, of a cube to the volume ‘V’, in cubic units. What is the volume, in cubic inches, of a cube with surface area of 396.

Answer 1

536.2  cubic inches  is the volume of a cube with surface area of 396.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given,

$A=6V^{\frac{2}{3}}$

A is surface Area ‘A’, in square units, of a cube

V is  volume of cube in cubic units.

We need to find the volume, in cubic inches, of a cube with surface area of 396.

A=396

We need to find V

$V^{\frac{2}{3} } =A/6$

=396/6

=66

$V=66^{\frac{3}{2} }$

V=536.2  cubic inches

Hence, 536.2  cubic inches  is the volume of a cube with surface area of 396.

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