Since the volume of a rectangular prism can be calculated by multiplying its length, width, and height, we can set up the equation as follows:
Volume = length x width x height
945 cm^3 = (4x) x (5x) x (9x)
945 cm^3 = 180x^3
Divide both sides by 180 to solve for x:
x^3 = 945 / 180
x^3 = 5.25
Taking the cube root of both sides:
x ≈ 1.71
Therefore, the value of x is approximately 1.71.
A rectangular prism is shown.
If the volume of the rectangular prism is 945 cm^3, what is the value of x?
1 answer