The length of room is double the breadth. Its height is 3m. Area of the 4 walls is 180sq.m. Find its volume. Pls it's urgent
Answers
Answer:
5400m^3
Step-by-step explanation:
Breadth=X
Length =2X
Height =3
Area of the wall=2X*3=180
=2X=180/3=60
X=60/2=30
Volume =60*30*3=5400m^3
Given data :-
- The length of room is double the breadth.
- Height of room is 3m.
- Area of the 4 walls is 180 m².
Solution :-
Let, the breadth of the room be x
→ Breadth ( B ) = x
Hence,
{According to given}
→ Length ( L ) = 2x
→ Height ( B ) = 3 meter.
Now here,
→ Area four wall = 2 (L + B) × h
→ 180 = 2( 2x + x ) × 3
→ 180 = 2( 3x ) × 3
→ 180 = 2( 9x )
→ 180 = 18x i.e.
→ x = 180/18
→ x = 10 {10 meter}
Hence,
→ Breadth = x = 10 meter
→ Length = 2x = 2 × 10 = 20 meter
Now we use formula of volume {for room}
→ volume of room = L × B × H
→ volume of room = 20 × 10 × 3
→ volume of room = 200 × 3
→ volume of room = 600 m³
Hence, the volume of the room is 600 cubic meter.
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