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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 :

750 cubic feet is the volume of the prism and Therefore, the volume of Jake's box is 8 times larger than Havana's box.

What are a right triangle's three sides?

A right right triangle hypotenuse is its longest side, its "across" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question. To describe both sides of right triangles, we utilize specific terminology. The side opposing its right angle is always the tangent of a right triangle.

Briefing:

Dimensions of the Right Triangular Base

Base = 20 feet

Height= 120 inches = 10 feet

Base Area of the Prism

1/2 * 20 * 10

= 150 sq.feet

Height of the Prism = 5 feet

Volume of the Prism = Base Area X Height

= 150 X 5

=750 cubic feet

Jake's Box

Length: 12 inches

Width: 4 inches

Height: 8 inches

Volume = 12 X 4 X 8 =384 cubic inches

Havana's box

Jake's shipment crate is comparable to the one in Havana, except it is only half as long overall.

Therefore:

Length: 12/2=6 inches

Width: 4/2=2 inches

Height: 8/2=4 inches

Volume = 6 X 2 X 4 =48 cubic inches

Now:

384/48=8

Therefore, Jake's box has an 8-times higher volume than Havana's box.

To know more about right triangle visit:

https://brainly.com/question/29285631

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