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A parking garage has a tented area with a slanted roof.

A rectangular prism and a triangular prism. The rectangular prism has a length of 40 feet, width of 15 feet, and height of 20 feet. The triangular prism has a triangular base with base 20 feet and height 20 feet. The prism has a height of 40 feet.

Dimensions of the triangular prism

Base – 20 feet by 20 feet

Height – 40 feet

Dimensions of the rectangular prism

Base – 15 feet by 40 feet

Height – 20 feet

What is the total amount of volume inside the parking garage?

ft3

Respuesta :

Answer:

20,000 f

Step-by-step explanation:

did he work AND ES

The total amount of volume inside the parking garage which has a tented area with a slanted roof is 20000 ft³.

What is of volume of a triangular prism?

Volume of triangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space. The volume of a triangular prism is base area (B) times height of it.

[tex]V=B\times h[/tex]

The volume of a rectangular prism is the product of its width, height and length.

[tex]V=w\times h\times l[/tex]

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A rectangular prism and a triangular prism. The rectangular prism has a length of 40 feet, width of 15 feet, and height of 20 feet.  The volume of this prism is,

[tex]V=20\times15\times40\\V=12000\rm\;ft^3[/tex]

The triangular prism has a triangular base, with base 20 feet and height 20 feet. The prism has a height of 40 feet. The volume of this prism is,

[tex]V=\dfrac{20\times20}{2}\times40\\V=8000\rm\;ft^3[/tex]

Total volume of the parking area is,

[tex]V=12000+8000\\V=20000\rm\; ft^3[/tex]

Thus, the total amount of volume inside the parking garage which has a tented area with a slanted roof is 20000 ft³.

Learn more about the volume of a triangular prism here;

https://brainly.com/question/15129289

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