Ask Question
17 December, 17:14

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.

+5
Answers (2)
  1. 17 December, 17:35
    0
    the answer is A and D
  2. 17 December, 20:30
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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, ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers