gatoblanchedoriane gatoblanchedoriane

16-05-2023
Mathematics

contestada

work!
The bases of a right prism are right triangles with side
lengths of 3 in, 4 in, and 5 in. The volume of the
prism is 96 in³. What is the height of the prism?

Respuesta :

mhanifa mhanifa

16-05-2023

Answer:

16 in

-----------------

Find the base area, considering the legs are 3 in and 4 in, since it is a right triangle:

B = 3*4/2 = 6 in²

We know the volume is V = Bh.

Substitute the known values and solve for h:

96 = 6h
h = 96/6
h = 16

So, the height of the prism is 16 in.

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