Help Help Help -… please answer this question fast fast-.. The volume of a square pyramid with a height of 12 m is 100 m

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Help Help Help ……. please answer this question fast fast……

The volume of a square pyramid with a height of 12 m is 100 m³. Find the length of its square base.

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Alexandra 5 days 2021-10-14T02:24:12+00:00 2 Answers 0

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    0
    2021-10-14T02:25:52+00:00

    Answer:

    5 m

    Step-by-step explanation:

    The volume (V) of a square based pyramid is

    V = \frac{1}{3} Ah ( A is the area of base and h the height ), thus

    \frac{1}{3} A × 12 = 100, that is

    4A = 100 ( divide both sides by 4 )

    A = 25

    Hence s² = 25 ← s is the side of square base

    Take the square root of both sides

    s = \sqrt{25} = 5

    0
    2021-10-14T02:26:11+00:00

    V = Ab·h : 3

    100m³ = Ab·12m : 3

    300m³ = Ab·12m

    Ab = 300m³/12m

    = 25m²

    Ab = 25m² = L²

    L = √25m²

    L = 5m

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