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Area of four walls of a room is 792 cm2, length is 20% more than width and height of the room is 12 cm.
A: Area of the floor of the room is 180 cm2.
B: Volume of the room is 3240 cm3.
C: Length of body (main) diagonal of the room is 4√77 cm.Area of four walls of a room is 792 cm2, length is 20% more than width and height of the room is 12 cm.
A: Area of the floor of the room is 180 cm2.
B: Volume of the room is 3240 cm3.
C: Length of body (main) diagonal of the room is 4√77 cm.
Correct Answer – Option 3 : B
GIVEN:
Three statements.
CONCEPT:
Mensuration
FORMULA USED:
Area of the floor of the room = LB
Volume of the room = LBH
Length of body (main) diagonal of the room = √(L2 + B2 + H2)
CALCULATION:
H = 12 cm
Let L = 6x and B = 5x
Now,
2 (12 × 6x + 12 × 5x) = 792
⇒ 264x = 792
⇒ x = 3
L = 6x = 18 cm
B = 5x = 15 cm
A:
Area of the floor of the room = LB
= 18 × 15
= 270 cm2
B:
Volume of the room = LBH
= 18 × 15 × 12
= 3240 cm3
C:
Length of body (main) diagonal of the room = √(L2 + B2 + H2)
= √(182 + 152 + 122)
= √693
= 3√77 cm
Hence, only statement B is TRUE.