Advertisements
Advertisements
Question
ABCDE is the end view of a factory shed which is 50 m long. The roofing of the shed consists of asbestos sheets as shown in the figure. The two ends of the shed are completely closed by brick walls.
If the cost of asbestos sheet roofing is Rs. 20 per m2, find the cost of roofing.
Advertisements
Solution
Asbestos sheets are spread on the area formed by the rectangle with CD and DE as lengths.
In ΔCDE, by Pythagoras theorem,
DE2 = `("perpendicular")^2 + ("Ab"/2)^2`
DE2 = `3^2 + (8/2)^2`
DE2 = 32 + 42
DE2 = 25
∴ DE = CD = 5m
Area of asbestos sheets = DE x length + Dc x length
Area of asbestos sheet
= 2 x 5 x 50
= 500m2
Cost of roofing
= Area x rate
= 500 x 20
= Rs.10,000
∴ The cost of roofing is Rs.10,000.
APPEARS IN
RELATED QUESTIONS
A swimming pool is 40 m long and 15 m wide. Its shallow and deep ends are 1.5 m and 3 m deep respectively. If the bottom of the pool slopes uniformly, find the amount of water in liters required to fill the pool.
A swimming pool is 18 m long and 8 m wide. Its deep and shallow ends are 2 m and 1.2 m respectively. Find the capacity of the pool, assuming that the bottom of the pool slopes uniformly.
A rectangular water-tank measuring 80 cm x 60 cm is filled form a pipe of cross-sectional area 1.5 cm2, the water emerging at 3.2 m/s. How long does it take to fill the tank?
A school auditorium is 40 m long, 30 m broad and 12 m high. If each student requires 1.2 m2 of the floor area; find the maximum number of students that can be accommodated in this auditorium. Also, find the volume of air available in the auditorium, for each student.
The internal dimensions of a rectangular box are 12 cm x `x` cm x 9 cm. If the length of the longest rod that can be placed in this box is 17 cm; find `x`.
A rectangular field is 112 m long and 62 m broad. A cubical tank of edge 6 m is dug at each of the four corners of the field and the earth so removed is evenly spread on the remaining field. Find the rise in level.
Find the length of a solid cylinder of diameter 4 cm when recast into a hollow cylinder of outer diameter 10 cm, thickness 0.25 cm and length 21 cm? Give your answer correct to two decimal places.
The figure shows the cross section of 0.2 m a concrete wall to be constructed. It is 0.2 m wide at the top, 2.0 m wide at the bottom and its height is 4.0 m, and its length is 40 m. Calculate the cross sectional area
The figure shows the cross section of 0.2 m a concrete wall to be constructed. It is 0.2 m wide at the top, 2.0 m wide at the bottom and its height is 4.0 m, and its length is 40 m. Calculate the volume of the concrete in the wall
A hose-pipe of cross section area 3 cm2 delivers 1800 liters of water in 10 minutes. Find the speed of water in km/h through the pipe.
