A rectangular prism has a volume of 840 cubic inches. the height of the Prism is 6 inches and the width is 10 inches find the length of the Prism and explain how you found it.
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first of all, prism is not only of one shape.
prism is a polyhedron with two polygonal faces lying in parallel lines and other faces are parallelogram.
a cube is also a prism and cuboid too.. we think that triangular prism is only prism. but no..
here we are talking about rectangular prism and a rectangular prism is a cuboid.
given :-
height = 6 in
breadth (width) = 10 in
length = ?
we know the formula for the volume of a cuboid that is "l × b × h"
therefore l × b × h = 840 in³
➡ l × 6 × 10 = 840 in³
➡ l × 60 = 840 in³
➡ l = 840/60
➡ l = 14 in
thus the length of the rectangular prism is 14 inches.
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