Amy and Alex are making models for their science project. Both the models are in the shape of a square pyramid. The length of the side

Question

Amy and Alex are making models for their science project. Both the models are in the shape of a square pyramid. The
length of the sides of the base for both the models is 8 inches. Amy’s model is 5 inches tall and Alex’s model is 3 inches tall.
Find the difference in volume of the two models.

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Faith 1 week 2021-09-15T21:09:16+00:00 2 Answers 0

Answers ( )

    0
    2021-09-15T21:11:05+00:00

    Answer:

    The answer is 42.67 cubic inches.

    Step-by-step explanation:

    Both the models are in the shape of a square pyramid.

    The length of the sides of the base for both the models is 8 inches.

    Amy’s model is 5 inches tall and Alex’s model is 3 inches tall.

    The volume is given by :

    a^{2}\frac{h}{3}

    So, Amy’s figure volume is :

    8^{2}\times \frac{5}{3} = 106.67 cubic inches

    And Alex’s figure volume is:

    8^{2}\times \frac{3}{3} = 64 cubic inches

    So, the difference between volumes is = 106.66-64=42.67 cubic inches.

    The answer is 42.67 cubic inches.

    0
    2021-09-15T21:11:07+00:00

    Answer:

    128/3 cubic inches

    Step-by-step explanation:

    The formula for pyramid volume is (1/3)lwh. Using this we can calculate that the volume of each shape is 320/3 cubic inches and 192/3 inches. When these are subtracted, it reads 128/3 cubic inches.

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