Answered

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For the following question, find the volume of the given prism. Round to the nearest tenth if necessary
2.
24 yd
(1 point)
13 yd
13 yd
13 yd
Not drawn to scale
O2,028.0 yd
O1,756.3 yd
O 1,434.0 yd
O3,512.6 yd3

For The Following Question Find The Volume Of The Given Prism Round To The Nearest Tenth If Necessary 2 24 Yd 1 Point 13 Yd 13 Yd 13 Yd Not Drawn To Scale O2028 class=

Sagot :

The volume of the triangular prism is 1756.3 cubic yd option second is correct.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We know that the volume of a triangular prism is given by:

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

Where b is the base length, l is the base width, and h is the height of the prism.

[tex]\rm h=\sqrt{13^2-(\dfrac{13}{2}) ^2[/tex]

h = 11.2583 yd

b = 13 yd

l = 24 yd

[tex]\rm V = \dfrac{1}{2}\times 13\times 24\times 11.2583[/tex]

V = 1756.29 ≈ 1756.3 cubic yd

Thus, the volume of the triangular prism is 1756.3 cubic yd option second is correct.

Learn more about the volume here:

https://brainly.com/question/16788902

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