Shown below is a cuboid with a length of 8 cm.
Its width is 2 cm and its height is 4 cm.
Calculate the volume of the cube.
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Shown below is a cuboid with a length of 8 cm.
Its width is 2 cm and its height is 4 cm.
Calculate the volume of the cube.
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: The problem states that the cuboid has a length of 8 cm, a width of 2 cm, and a height of 4 cm.
Step 2: We will use the volume formula for a cuboid, which is:
Step 3: Substituting the given dimensions into the formula, we have:
Performing the multiplication:
Therefore, the volume of the cuboid is .
64 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 how much space is inside a 3D shape. Think of it as layers: you have 8×2=16 square cm in each layer, and you stack 4 layers high, giving you 16×4=64 cubic cm total!
cm² measures flat area (like a piece of paper), while cm³ measures volume (space inside a box). Since we're finding how much fits inside the cuboid, we need cm³.
No! You can multiply length × width × height in any order: 8×2×4 = 2×4×8 = 4×8×2. They all equal 64 cm³ because multiplication is commutative.
Think "L×W×H" - Length times Width times Height. Or imagine filling the box with unit cubes: you need length×width cubes for the bottom layer, then stack height layers!
If the dimensions are different (like 8, 2, 4), it's actually a rectangular prism or cuboid, not a true cube. A real cube has all sides equal. The formula stays the same!
No! Volume measures actual space, which can't be negative. If you get a negative answer, check your calculations - you may have made an error with signs or operations.
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