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, 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.

Answer 1

the answer is A and D

Explanation:

Answer 2

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

The volume of the ramp is 24 feet cubed.

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