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2 February, 03:32

A pyramid with a rectangular base is stacked on top of rectangular prism. The height of the composite figure is 12 inches. The lengths of the rectangular base are 7 inches and 3 inches. The height of the rectangular prism is 4 inches.

What is the volume of the composite figure?

140 cubic inches

147 cubic inches

168 cubic inches

196 cubic inches

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Answers (2)
  1. 2 February, 05:13
    0
    Step-by-step explanation:

    140 cubic inches
  2. 2 February, 05:20
    0
    Answer: 140 cubic inches

    Step-by-step explanation:

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

    Volume = 1/3 * base area * height

    From the information given,

    Length = 7 inches

    Width = 3 inches

    Base area = 7 * 3 = 21 square inches

    Height = 12 - 4 = 8 inches

    Volume = 1/3 * 21 * 8 = 56 cubic inches

    The formula for determining the volume of a rectangular prism is expressed as

    Volume = Length * width * height

    Volume = 7 * 3 * 4 = 84 cubic inches

    Volume of the composite figure is

    56 + 84 = 140 cubic inches
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