If the bottom of the ladder is 3ft from a wall and the top of the ladder is 4ft from the ground, then how long is the ladder?
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Given:
A prism with right triangular base.
Base of triangle = 6 ft
Height of triangle = 8 ft
Height of prism = 7
To find:
The volume of the given prism.
Solution:
The volume of prism is:
...(i)
Where, B is the base area and h is the height of the prism.
In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:
Substituting in (i), we get
Therefore, the volume of the prism is 168 cubic ft.