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20. Volume and Surface Area of Solids
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Q30 of 94 Page 222

A solid cubical block of fine wood costs 256 at 500 per m3. Find its volume and the length of each side.

It is given that,

Cost of wood = Rs. 500/m3


Also,


Cost of the given block = Rs 256


We know that,


Volume of cube = a3


Therefore,


Volume of the given block = a3 =


= 0.512 m3


= 512000 cm3


Also,


Length of its edge = a =


= 0.8 m


= 80 cm


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28

The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is melted and recast into cubes, each of side 45 cm. How many cubes are formed?

29

If the length of each edge of a cube is doubled, how many times does its volume become? How many times does its surface area become?

1

Find the volume, curved surface area and total surface area of each of the cylinders whose dimensions are:

(i) radius of the base = 7 cm and height = 50 cm


(ii) radius of the base = 5.6 m and height = 1.25 m


(iii) radius of the base = 14 dm and height = 15 m

2

A milk tank is in the form of a cylinder whose radius is 1.5 m and height is 10.5 m. Find the quantity of milk in litres that can be stored in the tank.

Questions · 94
20. Volume and Surface Area of Solids
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