Given an cuboid whose dimensions are 5,8,2
Indicate whether it is true or false:
To calculate the volume of the cuboid it is not necessary to know the sides of the base and the height.
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Given an cuboid whose dimensions are 5,8,2
Indicate whether it is true or false:
To calculate the volume of the cuboid it is not necessary to know the sides of the base and the height.
To solve this problem, we need to determine the volume of the given cuboid. The volume of a cuboid is calculated using the formula:
For the given cuboid with dimensions 5, 8, and 2, the volume is calculated as:
Notice that regardless of how we assign the roles of length, width, and height to the numbers 5, 8, and 2, the multiplication result remains the same.
This is because multiplication is commutative, meaning the order of factors does not affect the product.
Thus, it is not necessary to identify which dimension is the base sides (length or width) and which is the height; only the product of all three dimensions matters for volume.
Therefore, the statement "To calculate the volume of the cuboid it is not necessary to know the sides of the base and the height." is True.
True
A rectangular prism has a base measuring 5 units by 8 units.
The height of the prism is 12 units.
Calculate its volume.
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