Middle School

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The base of a triangular prism is a right triangle with a base of 20 feet and a height of 120 inches. The height of the prism is 5 feet.

What is the volume of the prism, in cubic feet?

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Answer :

Answer:

500 ft³

Step-by-step explanation:

The formula for the volume of a triangular prism is:

[tex]V = \dfrac{1}{2} b h l[/tex]

where:

  • V is the volume.
  • b is the length of the base of the triangle.
  • h is the height of the triangle (perpendicular to the base).
  • l is the length of the prism.

In this case:

  • b = 20 ft
  • h = 120 in = 10 ft (since there are 12 inches in one foot)
  • l = 5 ft

Substitute the values into the formula and solve for V:

[tex]V = \dfrac{1}{2} \times 20 \times 10 \times 5[/tex]

[tex]V =10 \times 10 \times 5[/tex]

[tex]V =100 \times 5[/tex]

[tex]V =500\text{ ft}^3[/tex]

Therefore, the volume of the prism in cubic feet is 500 ft³.

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Rewritten by : Barada

The answer is 1200 have a good day