A cuboid is 9 cm long, 4 cm wide, and 5 cm high.
Calculate the volume of the cube.
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A cuboid is 9 cm long, 4 cm wide, and 5 cm high.
Calculate the volume of the cube.
To calculate the volume of the cuboid, we apply the formula for the volume of a cuboid:
Given:
Now, substituting the values into the formula:
First, multiply 9 and 4:
Then, multiply the result by 5:
Therefore, the volume of the cuboid is 180 cm³.
Since this is a multiple-choice question, the correct choice is 4: .
180 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. When you extend in length, width, AND height simultaneously, you're filling a 3D space. Each dimension multiplies the others to create cubic units!
A cube has all sides equal (like 5×5×5), while a cuboid (also called rectangular prism) can have different dimensions like our 9×4×5 example. Both use the same volume formula!
Volume uses cubic units because we're measuring 3D space. Think of it as counting little cubes: each 1cm × 1cm × 1cm cube = 1 cm³. Our shape contains 180 of these unit cubes!
No! You can multiply length × width × height in any order: 9×4×5, or 5×9×4, or 4×5×9. All give the same answer: 180 cm³.
Imagine stacking layers: Start with a 9×4 rectangle (36 squares), then stack 5 identical layers on top. You get 36×5 = 180 unit cubes total!
Double-check your multiplication! Common errors: 9×4×5 ≠ 90 (forgot one dimension) or ≠ 35 (added instead of multiplied). Always multiply all three numbers.
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