Question

If the lateral surface area of the given prism is 440cm² and the height is 20cm, find the length of BC.

AB=8cm
AC=6cm
BC=?​

Answer 1

Answer: 8

Work Shown:

LSA = lateral surface area of a prism

LSA = (perimeter of the base)*(height)

LSA = (AB+BC+AC)*(height)

LSA = (8+BC+6)*20

(8+BC+6)*20 = 440

(14+BC)*20 = 440

BC+14 = 440/20

BC+14 = 22

BC = 22-14

BC = 8