Olivia is making a triangular pyramid model for math class. The triangular base has a height of 5 inches and a base of 8 inches. The height

Question

Olivia is making a triangular pyramid model for math class. The triangular base has a height of 5 inches and a base of 8 inches. The height of the pyramid is 10 inches. Find the volume of her pyramid to the nearest tenth of a cubic inch. Enter your answer in the box.

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Ruby 3 weeks 2021-11-10T04:09:43+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-10T04:11:10+00:00

    Answer:

    66.7 in^3

    Step-by-step explanation:

    The volume of a triangular pyramid is given by

    V = 1/3 B h

    where B is the area of the base and h is the height

    Calculate the area of the base.  The base is a triangle

    B = 1/2 bh  where b is 8 and h is 5

      = 1/2 (8) * 5

      =20

    V = 1/3 (20) 10

     66.6666666

    To the nearest tenth

    66.7 in^3

    0
    2021-11-10T04:11:18+00:00

    Answer:

    66.7 in³

    Step-by-step explanation:

    Volume = ⅓ base area × height

    = ⅓(½ × 5 × 8) × 10

    = ⅓ × 20 × 10

    = 200/3 in³

    = 66.6667 in³

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