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

Given the cuboid of the figure:

444XXX2.52.52.5

Given: volume of the cuboid is 45

What is the value of X?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given the cuboid of the figure:

444XXX2.52.52.5

Given: volume of the cuboid is 45

What is the value of X?

2

Step-by-step 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

3

Final Answer

4.5

Practice Quiz

Test your knowledge with interactive questions

A rectangular prism has a base measuring 5 units by 8 units.

The height of the prism is 12 units.

Calculate its volume.

121212888555

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