Question

The volume of a room having length ,breadth , and height in the ratio 3:2:1 is is 384m^3 it contains two windows 3 m * 2 m and two 4 m * 2 m .what is the total cost to plaster in the 4 walls at RS 4 per square metre

Answer 1

Answer:

₹1296

Step-by-step explanation:

take length, breadth and height as 3x,2x, and x.

volume of cuboid=lbh

Applying the above formula,

3x*2x*x=384

6x^3=384

x^3=384/6

x=

$\sqrt[3]{64}$

x=4

length=3x=4*3=12m

breadth=2x=4*2=8m

height=x=4m

toral surface area of cuboid=2(lb+bh+lh)

=2(96+48+32)

=352m^2

Area of the 2 smaller windows=2(2*3)=12m^2

Area of the 2 larger windows=2(2*4)=16m^2

Subtracting this from the area of the walls=352m^2-(16m^2 +12m^2)

352-28

=324m^2

Cost of plastering the 4 walls=₹4 per sq meter.

324*4

=₹1296

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