Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Question

2 years ago

14

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
V =
Please help

Mathematics

1 answer:

pashok25 [27] · Answer 1 · 2022-02-20T22:10:06+03:00

The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the "height" of the prism.

Here, the base is an equilateral triangle with side length 3 in. The area of such a triangle is given by
A = (√3)4*s²
where s is the side length.

Your triangular prism has a base area of ...
B = (√3)/4*(3 in)² = (9/4)√3 in²
so the volume is
V = ((9/4)√3 in²)(6 in)
V = (27/2)√3 in³
V ≈ 23.383 in³