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6 January, 14:32

A triangular pyramid. The triangular sides have a base of 6.6 centimeters and height of 4 centimeters. The height of the pyramid is 9.5 centimeters. The formula for the volume of a pyramid is V = 1 3 Bh. Use the drop-down menus to complete the statements about the triangular pyramid. The base area is cm2. The volume is cm3.

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  1. 6 January, 14:46
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    Base area = 13.2 cm²

    volume = 41.8 cm³

    Step-by-step explanation:

    The triangular pyramid has a base of 6.6 cm and height of 4 cm. The height of the pyramid is 9.5 cm. A triangular pyramid has a triangular base.

    volume of a triangular pyramid = 1/3Bh

    where

    B = base area

    h = height of the pyramid.

    Let us calculate the base area. Recall the pyramid has a triangular base, that means we have to find the area of the triangle to get the base area.

    Base area = 1/2 * base * height

    Base area = 1/2 * 6.6 * 4

    Base area = 26.4/2

    Base area = 13.2 cm²

    Volumes = 1/3 * base area * h

    base area = 13.2 cm

    height = 9.5 cm

    Volumes = 1/3 * 13.2 * 9.5

    volume = 125.4/3

    volume = 41.8 cm³
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