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.
Answers
Answer: 14
Explanation: v = lwh or v=bh
in this case we have height and width so we'll use v=lwh
plug in the numbers
840 = 6*10*(x)
solve for x
multiply 6 and 10
840 = 60x
divide both side by 60
840/60 = 60x/60
14 = x
let's check our work.
6*10*14 = 840
hope this helped!
Answer: The length of the prism is 14 inches
Step-by-step explanation: so we know that a prism is a 3 dimensional structure and given is the fact that the prism is rectangular in shape ( so a rectangle viewed in 3D appears as a cuboid )
given is that the volume of the prism is 840 cubic inches and the height of the prism is 6 inches and the width ( or breadth ) of the prism is 10 inches
so since all the quantities are in inches so there is no need to interchange the units
now we know that the volume of a cuboid ( as the rectangular prism when viewed froma 3D point of view is a cuboid ) is found by applying the formula l * b * h where l is the length of the prism b is the breadth ( width) of the prism and h is the height of the prism
so then we can form a linear equation which is
l * 10*6 = 840 ( assuming the length is l inches )
so by calculating we get that l = 14 inches as ( 840 / 60 = 14)
so the length of the prism is 14 inches
hope it helps