Question

The given figure is a right triangular prism. The volume is 210in. In the prism, JL=7 inches and KM is equal to 6 inches. What is the length of JN?

Answer 1

JN = 10 in

Explanation:

the volume (V) of a triangular prism is calculated as

V = Ah ( A is the area of the triangular base and h the height )

A =
`(1)/(2)` bh ( b is the base and h the perpendicular height )

here b = JL = 7 , h = KM = 6 , then

A =
`(1)/(2)` × 7 × 6 =
`(1)/(2)` × 42 = 21 in²

given V = 210 with h = JN , then

21 JN = 210 ( divide both sides by 21 )

JN = 10 in