Look at the cuboid below:
What is the volume of the cuboid?
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Look at the cuboid below:
What is the volume of the cuboid?
To determine the volume of a cuboid, we apply the formula:
The formula to find the volume () of a cuboid is:
Step 3: Substitute the given dimensions into the formula and calculate:
Step 4: Perform the multiplication in stages for clarity:
First, calculate
Then multiply the result by 5:
Therefore, the volume of the cuboid is .
480 cm³
A rectangular prism has a base measuring 5 units by 8 units.
The height of the prism is 12 units.
Calculate its volume.
Volume measures the space inside a 3D shape. Think of it like stacking unit cubes - you need length × width × height layers. Adding would give you the total of the edges, not the space!
No! Multiplication is commutative, so 12 × 8 × 5 = 8 × 12 × 5 = 5 × 8 × 12. The volume will always be the same regardless of order.
Always include cubic units for volume! Since you're multiplying three lengths (cm × cm × cm), the result must be cm³. Without units, your answer is incomplete.
Think of filling a box with unit cubes. You need to know how many cubes fit along each direction, then multiply to find the total:
A cube has all sides equal, while a cuboid can have different dimensions. Both use the same volume formula, but a cube would be where s is the side length.
Yes! The cuboid is fairly large (12×8×5 cm), so 480 cm³ makes sense. That's about half a liter of space, which matches the size shown in the diagram.
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