Question

the area of four walls of a room is 105 m square if the room is 13m long and 4.5 M broad find its volume

Answer 1

Area of 4 wall of room=2 (l+b)×h
length =13m
breadth =4.5m
so,
2 (13+4.5)×h=105m
2×17.5×h=105
35×h=105
h = 3
Now,
volume of room =l×b×h
volume of room =13×4.5×3m cube
=175.5 m cube

Hope this article will useful ......

Answer 2

Given : The area of four walls of a room is 105 m square. The room is 13 m long and 4.5 m broad.

To find : The volume of the room.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the volume of the given room)

First of all, we have to calculate the height of the room.

Now, we know that :

Area of four walls of a room = [2 × (Length + Breadth)] × Height

By, putting the available data in the above mentioned mathematical formula, we get :

105 = [2 × (13 + 4.5)] × Height

105 = 35 × Height

35 × Height = 105

Height = 105/35

Height = 3 metres

Now, the volume of the given room will be :

= Length × Breadth × Height

= (13 × 4.5 × 3) m³

= 175.5 m³

(This will be considered as the final result.)

Hence, the volume of the room is 175.5 m³.