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Which expression represents the volume of the prism?

a) Length × Width
b) Base × Height
c) Base × Height × Depth
d) Height ÷ Base

1 Answer

4 votes

Final answer:

The correct expression to represent the volume of a prism is (c) Base × Height × Depth, which aligns with the dimensional property of volume being the product of three lengths.

Step-by-step explanation:

The question is asking which expression correctly represents the volume of a prism. Volume is a measure of how much space an object occupies, and for a three-dimensional object with parallel sides, such as a rectangular prism or a cylinder, the volume is calculated as the product of the area of the base and the height of the object (Volume = Base × Height).

So, to find the volume of a prism, you use the formula Base × Height × Depth. We can also refer to 'Depth' as the 'Width' or the 'Length' of the base, depending on the orientation of the prism. Therefore, the correct option is (c) Base × Height × Depth, which mathematically calculates the volume as it involves a multiplication of three dimensions: length, width, and height (all of which are lengths, having the dimension L). This aligns with the dimensional consistency where volume has the dimension L³, or length cubed.

As such, the correct option answer in the final answer is (c) Base × Height × Depth.

User Nikola Lajic
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