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What is the volume of the following rectangular prism?

a) Volume = Length × Width × Height
b) Volume = 2 × (Length + Width + Height)
c) Volume = Length × Width ÷ Height
d) Volume = Length ÷ Width × Height

User Sergiogx
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1 Answer

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Final answer:

The correct formula for the volume of a rectangular prism is a) Volume = Length × Width × Height. Other mentioned formulas do not correctly calculate the volume and are dimensionally inconsistent.

Step-by-step explanation:

The correct formula for calculating the volume of a rectangular prism is a) Volume = Length × Width × Height. This formula defines the volume as the space occupied by the prism, which is found by multiplying its length by its width and then by its height. The other options given, b), c), and d), are incorrect for calculating volume; option b) would calculate the perimeter of the prism, and options c) and d) are dimensionally inconsistent with the concept of volume.

As for the volumes of two different blocks in response to a change in temperature, the change in volume, cross-sectional area, and height would depend on the material's thermal expansion properties. For a uniform material, changes in dimensions would be proportional to the original dimensions and the degree of temperature change.

User Vish
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