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An oblique triangular pyramid has a base area of 4 square units and a volume of 88/3 cubic units. What is the height of the pyramid? Find the volume of the cone given the height and diameter shown. Note that the figure is not to scale. Round your answer to the nearest hundredth if necessary.

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An oblique triangular pyramid has a base area of 4 square units and a volume of 88/3 cubic units. What is the height of the pyramid?

units

Find the volume of the cone given the height and diameter shown. Note that the figure is not to scale. Round your answer to the nearest hundredth if necessary.

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    1 Answer

    1. Quizzma Team

      To find the height of the oblique triangular pyramid, we can use the formula for the volume of a pyramid:

      [

      V = frac{1}{3} times text{Base Area} times text{Height}

      ]

      We’re given:

      – Volume ( V = frac{88}{3} ) cubic units

      – Base Area = 4 square units

      Plugging these values into the formula:

      [

      frac{88}{3} = frac{1}{3} times 4 times text{Height}

      ]

      Now, simplify the equation:

      1. Multiply both sides by 3 to eliminate the fraction:

      [

      88 = 4 times text{Height}

      ]

      2. Now, divide both sides by 4:

      [

      text{Height} = frac{88}{4} = 22 text{ units}

      ]

      So, the height of the pyramid is 22 units.

      If you need help with the cone volume, feel free to ask!

    3. Quizzma Team

      To find the height of the oblique triangular pyramid, we can use the formula for the volume of a pyramid:

      [

      V = frac{1}{3} times text{Base Area} times text{Height}

      ]

      We know the volume (V = frac{88}{3}) cubic units and the base area = 4 square units. We can plug these values into the formula and solve for the height (h):

      [

      frac{88}{3} = frac{1}{3} times 4 times h

      ]

      Now, let’s simplify this:

      Multiply both sides by 3 to eliminate the fraction:

      [

      88 = 4 times h

      ]

      Now, divide both sides by 4:

      [

      h = frac{88}{4} = 22 text{ units}

      ]

      So, the height of the pyramid is 22 units.

      If you need help with the volume of the cone or any other questions, feel free to ask!

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