Question

question 8 of 10, step 1 of 4

the volume of a cube is decreasing at a rate of \\(120\text{ mm}^3/\text{s}\\).

step 1 of 4: what is the formula for the volume \\(v\\) of the cube in terms of its edge length \\(x\\)?

answer
\\(v =\\)

Explanation:

Identify the geometric shape and variables

The problem asks for the formula of the volume \(V\) of a cube in terms of its edge length \(x\).

Write the volume formula

The volume of a cube with edge length \(x\) is given by multiplying its three dimensions (length, width, and height), which are all equal to \(x\):

$$V = x^3$$

Answer:

Step 1 of 4: What is the formula for the volume \(V\) of the cube in terms of its edge length \(x\)?

\(V =\) <blank>\(x^3\)</blank>