Questions: The pyramid shown below has a square base, a height of 7 , and a volume of 84 . If the height was doubled, how would the volume be affected? Tripled Doubled Quadrupled

The pyramid shown below has a square base, a height of 7 , and a volume of 84 .
If the height was doubled, how would the volume be affected?
Tripled
Doubled
Quadrupled

Transcript text: The pyramid shown below has a square base, a height of 7 , and a volume of 84 . If the height was doubled, how would the volume be affected? Tripled Doubled Quadrupled

Solution

Solution Steps

Step 1: Formula for the volume of a pyramid

The volume of a pyramid is given by the formula:

$V = \frac{1}{3} * B * h$

Where V is the volume, B is the area of the base, and h is the height.

Step 2: Analyze the relationship between height and volume

In the given formula, we see that volume (V) is directly proportional to height (h). This means that if the height is doubled, the volume will also be doubled, keeping the base area constant.

Final Answer: The volume would be doubled.

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