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3 August, 10:52

Mateo built the skateboard ramp below and filled it with pebbles to make it more stable.

A rectangular prism with a length of 1.5 feet, width of 4.8 feet, and height of 2 feet. A triangular prism with a triangular base with base 2 feet and height 2 feet. The height of the prism is 4.8 feet.

Which statements are true about the ramp? Select two options.

The shape can be broken into a rectangular prism and a triangular prism.

The shape can be broken into a rectangular prism and a rectangular pyramid.

The formula for the volume of this figure is V = B h + one-third B h.

The volume of the ramp is 24 feet cubed.

The volume of the ramp is 20.8 feet cubed.

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Answers (2)
  1. 3 August, 11:41
    0
    the answer is A and D
  2. 3 August, 12:57
    0
    The shape can be broken into a rectangular prism and a triangular prism.

    The volume of the ramp is 24 feet cubed.

    Step-by-step explanation:

    The ramp has a rectangular prism and triangular prism. The combined shape makes the ramp.

    The volume of a rectangular prism = Bh

    where

    B = base area

    B = length * width

    h = height

    volume = 1.5 * 4.8 * 2 = 14.4 ft³

    The volume of a triangular prism = base area + slant height

    volume = 1/2 b * h * l

    where

    b = base of the triangle

    h = height of the triangle

    l = slant height of the prism

    volume = 1/2 * 2 * 2 * 4.8 = 19.2/2 = 9.6 ft³

    The volume of the ramp = 14.4 + 9.6 = 24 ft³
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