Look at the cuboid in the figure:
The volume of the cuboid is equal to 90.
What is the value of X?
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Look at the cuboid in the figure:
The volume of the cuboid is equal to 90.
What is the value of X?
To find the value of , we begin by using the formula for the volume of a cuboid, which is given by .
In this problem, the volume is 90 cubic units, the height is 5 units, and the depth is 3 units. We need to find the width . So, we write the equation:
Simplify the equation:
To solve for , divide both sides of the equation by 15:
Calculating the right-hand side, we find:
Thus, the width of the cuboid, , is 6 units.
The correct answer to the multiple-choice question is choice 4: 6.
6
A rectangular prism has a base measuring 5 units by 8 units.
The height of the prism is 12 units.
Calculate its volume.
Look at the diagram carefully! The labels show that 5 is the height (vertical), 3 is the depth, and X is the width (horizontal base). The positioning of the labels tells you which dimension is which.
Volume measures 3D space inside the cuboid. You need length × width × height because you're finding how many unit cubes fit in all three directions at once.
That's fine! Some cuboid problems have decimal solutions. Just make sure your calculation is correct: gives us a whole number here.
No - for cuboids (rectangular prisms), the formula is always Volume = length × width × height. Don't confuse it with formulas for other shapes like cylinders or spheres.
Substitute your answer back: . If this equals the given volume, your answer is correct!
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