Question

question 5 of 10
what is the volume of the cube below?
a. 16x²
b. 16
c. 4x²
d. 4x

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume formula for a rectangular prism is \(V = l\times w\times h\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.

Step2: Identify the dimensions of the prism

From the figure, \(l=x\), \(w = x\), and \(h = 4\).

Step3: Substitute the values into the formula

\(V=x\times x\times4\).

Step4: Simplify the expression

Using the rule of exponents \(a^{m}\times a^{n}=a^{m + n}\) (here \(a=x\), \(m = 1\), \(n=1\)), we get \(V = 4x^{2}\).

Answer:

C. \(4x^{2}\)