You should actually have an equation. Let's call S the surface area.lovemake1 said:Homework Statement
Express the volume of a cube as a fuction of the total surface area
Homework Equations
Surface area = 6x^2
Volume = x^3
The Attempt at a Solution
So, we need to manipulate the surface area equation so we can use it to find volume right?
SA = 6x^2
sqrt(SA/6) = x
or (SA/6)^(1/2) = x
and sub it in the Volume equation
(SA/6)^(1/2)*3
No, you have too many factors of 6 in the denominator.lovemake1 said:so we would have (SA/6^3)^3/2
lovemake1 said:Is this correct answer to the question?
please help
The formula for finding the volume of a cube as a function of surface area is V = (A/6)^3, where V is the volume and A is the surface area.
Yes, the volume of a cube can be calculated if only the surface area is known by using the formula V = (A/6)^3. However, it is important to note that this formula only applies to cubes and not other shapes.
The volume of a cube will increase as the surface area increases. This is because a larger surface area means that there is more space inside the cube to hold a larger volume.
No, the volume of a cube cannot be larger than its surface area. This is because the surface area is a two-dimensional measurement while the volume is a three-dimensional measurement. Therefore, the surface area will always be smaller than the volume for a cube.
The volume of a cube as a function of surface area can be used in various real-world applications such as in construction, packaging, and engineering. For example, knowing the relationship between the volume and surface area of a cube can help in determining the amount of material needed to build a cube-shaped structure or in designing packaging that efficiently uses space.