Solve for X: Finding Missing Dimension in Cuboid with Volume 45 and Height 4

Question

Given the cuboid of the figure:

Given: volume of the cuboid is 45

What is the value of X?

00:00 Determine the height of box X

00:03 Use the formula for calculating box volume

00:07 Width multiplied by Height multiplied by Length

00:13 Insert the appropriate values into the formula according to the given data and solve for X

00:18 Isolate X

00:23 Here is the solution

Volume formula for a rectangular prism:

Volume = length X width X height

Therefore, first we will place the data we are given into the formula:

45 = 2.5*4*X

We divide both sides of the equation by 2.5:

18=4*X

And now we divide both sides of the equation by 4:

4.5 = X

4.5