हिंदी

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. - Mathematics

Advertisements
Advertisements

प्रश्न

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.

योग
Advertisements

उत्तर

Area of trapezoid

= `(1)/(2) xx ("Sum of parallel sides") xx "height"`

= `(1)/(2) xx (3 + 5) xx 2`
= 8m2
Volume of the canal
= Area of trapezoid x Length
= 8 x 400
= 3200m3
∴ The volume of water that it holds is 3200m3.

shaalaa.com
Cross Section of Solid Shapes
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 25: Surface Areas and Volume of Solids - Exercise 25.3

APPEARS IN

फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 25 Surface Areas and Volume of Solids
Exercise 25.3 | Q 13

संबंधित प्रश्न

The following figure shows a solid of uniform cross-section. Find the volume of the solid. All measurements are in centimeters.
Assume that all angles in the figures are right angles.


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. 


A rectangular cardboard sheet has length 32 cm and breadth 26 cm. Squares each of side 3 cm, are cut from the corners of the sheet and the sides are folded to make a rectangular container. Find the capacity of the container formed.


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 22 kg copper wire of diameter 0.8 cm, if the weight of 1 cm3 copper is 4.2 g.


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 cross section of a piece of metal 2 m in length is shown. Calculate the area of cross section.


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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×