Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
The following figure shows a closed victory-stand whose dimensions are given in cm.
Find the volume and the surface area of the victory stand.
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.
The cross-section of a piece of metal 4 m in length is shown below. Calculate :
(i) The area of the cross-section;
(ii) The volume of the piece of metal in cubic centimeters.
If 1 cubic centimeter of the metal weighs 6.6 g, calculate the weight of the piece of metal to the nearest kg.
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 cross section of a piece of metal 2 m in length
is shown. Calculate the volume of the piece of metal.
The given figure is a cross -section of a victory stand used in sports. All measurements are in centimetres. Assume all angles in the figure are right angles. If the width of the stand is 60 cm, find The space it occupies in cm3.
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
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.
Find the total surface area (including roofing) of the shed.
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.
The cross section of a canal is a trapezium with the base length of 3 m and the top length of 5 m. It is 2 m deep and 400 m long. Calculate the volume of water it holds.
