A pyramid of volume 344 square units is sliced into two pieces by a plane parallel to the base of the pyramid and 10 units away from the pla

Question

A pyramid of volume 344 square units is sliced into two pieces by a plane parallel to the base of the pyramid and 10 units away from the plane of the base. The volume of the resulting frustum is 301 square units. What was the height of the original pyramid?

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Margaret 2 weeks 2021-09-08T07:15:38+00:00 2 Answers 0

Answers ( )

    0
    2021-09-08T07:16:41+00:00

    Answer:

    The height of the original pyramid is 20 units

    Step-by-step explanation:

    0
    2021-09-08T07:17:27+00:00

    Answer:

    80 units

    Step-by-step explanation:

    v = 1/3 bh

    v₁ = 1/3 * b * h₁ = 344

    v₂ = 1/3 * b * h₂ = 301

    v₁ / v₂ = h₁ / h₂ = 344 / 301

    h₂ = h₁ – 10

    h₁ / (h₁ – 10) = 344 / 301

    344 * (h₁ – 10) = 301 * h₁

    344* h₁ – 3440 = 301 * h₁

    43 * h₁ = 3440

    h₁ = 80

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45:7+7-4:2-5:5*4+35:2 =? ( )