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Answer :
To find the height of a pyramid, use the formula for volume and rearrange it to solve for height. For the given volume and base area, the height is approximately 280 units.
To find the height of a pyramid when given its volume and the area of its base, we use the formula for the volume of a pyramid:
Volume = (1/3) × Base Area × Height
You are given:
Volume (V) = 18,069,333.333
Base Area (B) = 193,600
Let the height be represented by h.
- Start by using the volume formula:
18,069,333.333 = (1/3) × 193,600 × h
- Solve for h by isolating it on one side of the equation:
18,069,333.333 = 64,533.333 × h
h = 18,069,333.333 / 64,533.333
- Calculate the result:
h ≈ 280
Thus, the height of the pyramid is approximately 280 units.
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Answer:
280
Step-by-step explanation:
Area=[tex]\frac{1}{3}[/tex]bh
18,069,333.333=[tex]\frac{1}{3}[/tex](193,600)h
multiply both sides by 1/3: 54208000=193,600h
divide both sides by the 193600: h=280
