MATH SOLVE

4 months ago

Q:
# The length of a rectangular room is double of its breadth and height is one third of the length . If the room contains 972 cubic meter of air,Find the area of floor of the room.

Accepted Solution

A:

Answer: 162 square metersStep-by-step explanation:Given: l=2b, which means b=l/2 (1) h=1/3l (2)To find: Area of the floor (lxb)Solution: Volume of air in the room=972 cubic metersWe know that volume of a cuboid = l x b x h ⇒ 972 = l x l/2 x l/3 (from (1) and (2)) ⇒ 972 = l³/6 ⇒ l³ = 972 x 6 ⇒ l³ = 5832 ⇒ l = 18 Substituting l = 18 in (1), we get b = 9∴ l x b = 18 x 9 = 162 square metersHence the area of the floor is 162 square meters.Please mark as brainliest if this helps you!