The volume of a cube is related to the area of a face by the formula V= A^3/2. What is the volume of a cube whose face has an area of 100 cm^2?

Question

The volume of a cube ir related to the area of a face by the formula V=A^3/2. What is the volume of a cube whose face has an area of 100cm^2? the question is a geometry it has to do with math it's a 10th grade question it deals with fraction geometrical backgrounds 

and it deals with geometry and formulas a from 1.3 to 1.3  A=0 V= a over 2 it has two varieties of math geometry and math 

Answer 1

We have V=A^3/2

 

We know that A = 100cm², so just plug the area into the equation:

 

V = 100^3/2

= 100^2/2 * 100^1/2

= 100 * √(100)

= 100 * 10 = 1000 cm³

 

Therefore, the area is 1000cm³

 

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Another way to solve the problem is to figure out what the side length is from the area. Since the area is 100cm², and we know that area of a cube face is s² (where s is the length of the side), we can figure out the side length first like this:

 

s = √(100cm²)

s = 10cm

 

Then we can calculate volume using V = s³ = 1000 cm³