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10 April, 04:02

A composite solid consists of a cube with edges of length 6cm and a square pyramid with base edges of length 6cm and height of 6cm which is the best estimate of the volume of the solid

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  1. 10 April, 07:40
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    Answer: The volume of the solid is 324 cm³

    Step-by-step explanation:

    Formula for determining the volume if a cube is s³

    Where s represents the length of each side of the cube.

    From the information given, s = 6 cm

    Volume = 6³ = 216 cm³

    The formula for determining the volume of the square base pyramid is expressed as

    Volume = Area * height * 1/3

    From the information given,

    Length of square base = 6 cm

    Height = 6 cm

    Area of square base = 6² = 36 cm²

    Volume of square base pyramid

    = 36 * 6 * 1/3 = 108 cm³

    The volume of the solid would be the sum of the volume of the cube and the volume of the square base pyramid. It becomes

    216 + 108 = 324 cm³
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