A cuboid has a length of is 9 cm.
It is 4 cm wide and 5 cm high.
Calculate the volume of the cube.
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A cuboid has a length of is 9 cm.
It is 4 cm wide and 5 cm high.
Calculate the volume of the cube.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Given dimensions are:
- Length = 9 cm
- Width = 4 cm
- Height = 5 cm
Step 2: Use the formula for the volume of a cuboid:
Step 3: Substitute the values into the formula:
Calculate the product:
Therefore, the volume of the cuboid is .
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. You need length × width to get the area of the base, then × height to 'stack up' that area through the entire height of the shape.
Area is 2D (measured in cm²) and uses two dimensions. Volume is 3D (measured in cm³) and uses three dimensions. Think of area as the floor space, volume as the room space.
The cubic units (cm³) show we're measuring volume! When you multiply cm × cm × cm, you get cm³. This tells you it's a 3-dimensional measurement.
No! 9 × 4 × 5 gives the same result as 5 × 9 × 4 or any other order. Multiplication is commutative, so arrange the numbers however is easiest for you to calculate.
You'll get the wrong answer! Always check that you've used all three measurements: length, width, and height. Missing any dimension means you're not calculating true volume.
Break it into steps: 9 × 4 = 36, then 36 × 5 = 180. You can also check by doing it a different way: 4 × 5 = 20, then 9 × 20 = 180.
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