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3 votes
Explain how the following two formulas are the same
volume = b x h
volume = l x w x h

2 Answers

4 votes

Answer:

I am going to add your answer, as well as an explanation and an example incase you need extra help. :)

Explanation:

The two formulas are the same because they both calculate the volume of a three-dimensional object.

The first formula, volume = b x h, calculates the volume of a prism, where b is the area of the base of the prism and h is the height of the prism.

The second formula, volume = l x w x h, calculates the volume of a rectangular solid or a rectangular prism, where l is the length, w is the width, and h is the height of the rectangular solid or prism.

If we substitute the base of the rectangular prism for b in the first formula, we get:

volume = b x h = (l x w) x h

which is equivalent to the second formula for calculating the volume of a rectangular prism. Therefore, both formulas are the same, just written in different ways to calculate the volume of different types of three-dimensional objects.

Example:

As an example, let's consider a rectangular box with a length of 5 cm, width of 3 cm, and height of 2 cm. Using the first formula, the volume would be:

volume = b x h = (5 cm x 3 cm) x 2 cm = 30 cm³

Using the second formula, the volume would be:

volume = l x w x h = 5 cm x 3 cm x 2 cm = 30 cm³

Both formulas give the same result of 30 cubic centimeters (cm³) for the volume of the rectangular box.

There you go buddy, Hope this helped :)

answered
User Gilad Foyer
by
8.3k points
6 votes

Answer:

Explanation:

Because it is giving the sum of each side and each angle which makes it easier to find the volume of each triangle.

answered
User Brunsgaard
by
8.0k points

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