1.

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.1. B and C2. A and B3. B4. All

Answer» 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.


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