A triangular pyramid has a volume of 333 and one-third yards cubed. What are the possible measures of the area of the base, B, and the heigh

Question

A triangular pyramid has a volume of 333 and one-third yards cubed. What are the possible measures of the area of the base, B, and the height, h, of the pyramid? (Recall the formula V = one-third B h.)
B = 50 centimeters squared; h = 10 centimeters
B = 50 centimeters squared; h = 30 centimeters
B = 100 centimeters squared; h = 10 centimeters
B = 100 centimeters squared; h = 30 centimeters

PLZ HELP ME

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Amaya 2 weeks 2021-09-10T17:46:05+00:00 1 Answer 0

Answers ( )

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    2021-09-10T17:47:09+00:00

    To find the option that satisfies the volume of the triangle, we can solve each option.

    Formula for the volume a triangular prism: V = 1/3bh

    Option A:

    B = 50 centimeters squared; h = 10 centimeters

    V = 1/3(50)(10)

    V = 1/3(500)

    V = 166.666… or 166 2/3 yards.

    Therefore, this option is incorrect.

    Option B:

    B = 50 centimeters squared; h = 30 centimeters

    V = 1/3(50)(30)

    V = 1/3(1500)

    V = 500 yards.

    Therefore, this option is incorrect.

    Option C:

    B = 100 centimeters squared; h = 10 centimeters

    V = 1/3(100)(10)

    V = 1/3(1000)

    V = 333.333… or 333 1/3 yards.

    Therefore, this option is correct.

    Option D:

    B = 100 centimeters squared; h = 30 centimeters

    V = 1/3(100)(30)

    V = 1/3(3000)

    V = 1000 yards.

    Therefore, this option is incorrect.

    Hence, the correct answer is [ B = 100 centimeters squared; h = 10 centimeters ]

    Best of Luck!

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