Math, asked by madhusudhanN, 7 months ago

The dimensions of a room are as follows:
length = 4.8m; breadth=
3.2m and
height=3m. The room also has a window of
the size of 1m x 75cm and two doors, each
of size 1m x2m. What is the cost of painting
the walls of the room at the rate of Rs. 40
exbxh.
per sq.m.?​

Answers

Answered by nikeshbhuju
0

Answer:

Rs. 1333.2

Step-by-step explanation:

SOLUTION

GIVEN;

length (l) = 4.8m

breadth(b) = 3.2m

height(h) = 3m

Here;

Volume of room;

=  l * b * h

= 4.8 * 3.2 * 3

= 46.08m^{3}

Then;

Size of windows = 1m * 75cm(0.75m)

                             = 0.75m^{2}

Size of 2 door = 2 (1m * 2m * 3)  [The height of room and door is same]

                        = 2(6)

                        = 12m^{2}

Now;

Volume of the room excluding windows and doors;

= 46.08 - (0.75 + 12)

= 46.08 - 12.75

= 33.33m^{3}

Again;

Cost of painting walls of the room = 33.33m^{3} * Rs.40

                                                            = Rs. 1333.2

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Answered by kvkeerthana
0

Answer:

Cost of painting the walls = ₹2344.4

Step-by-step explanation:

Surface area of the room = 2(lb + bh + lh)

l = 4.8 m   b = 3.2 m   h = 3 m

Surface area = 2(4.8 × 3.2 + 3.2 × 3 + 4.8 × 3)

                      = 2(15.36 + 9.6 + 14.4)

                      = 2 × 39.36

                      = 78.72 m²

Area of one window = 1 m × 75 cm = 0.75 m²

Area of 2 doors with same measurement = 2(1 × 2) = 2 × 2 = 4 m²

To know the cost of painting we must not add the base because it is not painted it is filled with tiles. So to know you must subtract the base (lb) and 1 window and 3 doors.

Surface area of the room  = 78.72 m²

Area of base of the room = l × b = 4.8 × 3.2  = 15.36 m²

Now, add the area of the  1 window and 2 doors and the base of the room:

Area of one window = 0.75 m²

Area of 2 doors = 4 m²

Area of base of the room = l × b = 4.8 × 3.2  = 15.36 m²

Sum = 0.75 + 4 + 15.36 = 20.11

Area of the room excluding area of 1 window and 2 doors  and the base = 78.72 - 20.11

                      = 58.61 m²

Cost of painting per sq.m = ₹40

Cost of painting 58.61 m² = 40 × 58.61

                                           = ₹2344.4

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