Hameed has built a cubical water tank with lid for his house, with each other edge 1 .5 m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25 cm. Find how much he would spend for the tiles, if the cost of tiles is Rs. 360 per dozen.
Given that
Hameed is giving 5 outer faces of the tank covered with tiles he would need to know the
surface area of the tank, to decide on the number of tiles required.
Edge of the cubic tank = 1.5m=150cm=a
Area of each square tile = ("surface area of tank")/("area of each title")
=(5×150×150)/(25×25)=180
("Cost of 1 dozen tiles i.e., cost of 12 tiles = Rs. 360")
("Therefore, cost of 12 balls tiles = Rs. 360")
∴"cost of one title" = (360)/(12)=rs.30
∴ The cost of 180 title= 180×Rs.30
=Rs.5.400
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⇒32−25∴x​=x=7 cm​ Exercise 14.1 1. In the trapezium PQRS,PQ∥RS. If PQ=10 cm,RS=16 cm and the distance between the parallel sides is 13 cm. Find the area of trapezium PQRS. 2. The parallel sides of trapezium are 24 cm and 14 cm and its non-parallel sides are 10 cm each. Find the area of the trapezium. 3. The parallel sides of trapezium are 16 cm and 14 cm long and the distance between them is 20 cm. Find its area. 4. One of the parallel sides of trapezium is three times the other. The distance between them is 14 cm. If the area of the trapezium is 84sq.cm. What is the length of the parallel sides? 5. The shape of a table top is trapezium. Find its area if its parallel sides are 1 m and 2.5 m and perpendicular distance between them is 0.8 m. 6. The diagonal of a quadrilateral is 20 cm. The length of the perpendicular from other vertices on the diagonal are 8 cm and 5 cm. Find the area of the quadrilateral. 7. The area of a trapezium shaped garden is 480 sq. m, distance between the two parallel sides is 15 m and one of the parallel sides is 20 m. Find the length of the other parallel side.
Exercise 2 Complete the following words with letters they begin with.
ON M456 Q 1 2 3 7 Find the median of the observation 12,13,21,11,34,25,36,65,55 Find the value of x if the mean of the observation 10, 20, 30, 40, 50, x, x+2, 80, 90 is 60 Find the mode and range of the observation : 45, 34, 44, 55, 62, 23, 24, 98, 55, 18. Find the area of the triangle whose sides are 11 cm, 60 cm and 61 cm. Prove that the diameter of a circle is the longest chord. Draw the bar graph from the given data Class interval 1-3 3-7 7-11 11-15 15-17 17-22 A hemisphere having diameter 7 cm, find the (i) CSA, (ii) TSA (iii) volume of the hemisphere. " frequency 3 5 8 10 9 5 16 - I Marks 2 2 2 3 2 3 3
In the adjoining figure, ABCD is a parallelogram and the bisector of ∠A bisects BC at X. Prove that AD=2AB gulTTON ABCD is a parallelogram. ∴AD∥BC and AX cuts them. ∴∠BXA=∠DAX=21​∠A (alt. interior ∠ ). ∴∠2=21​ A. Also, ∠1=21​A.
Topic Surface Areas and Volumes
Class Class 9