Volume and Surface Area
Practice Questions - Volume and Surface Area
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Q6) 99 cu cm of copper is drawn into a wire of thickness 1.5 mm. Find the length of the wire(in m)? 1) 560 m 2) 5600 m 3) 56 m 4) 560 cm
Let H be the length of the wire. Wire can be supposed to be a cylinderical object.  Hence, option 3. Q7) Find the length of the longest rod that can be placed in a cubical room of length 10 cm? 1) 16 cm 2) 18 cm 3) 17 cm 4) 15 cm
Length of the longest rod that can be placed in a cubical room of length L is = √3L So, the length of the longest rod that can be placed in a cubical room of length 10 cm = 10√3 cm = 17.32 cm Hence, option 3. Q8) A right triangle is rotated across one of it's sides. What is the resulting figure. 1) Pyramid 2) Cone 3) Cuboid 4) Cylinder
When a triangle is rotated across one of it’s sides then the resulting figure is a cone. Hence, option 2. Q9) A boat having a length of 4 m and a breadth of 2.5 m is floating in the lake. When the boat is loaded with some goods then it is found that the boat sinks by 1.25 cm. What is the volume of water displaced in this process? 1) 10 m3 2) 1.25 m3 3) 1 m3 4) 0.125 m3
Volume of water displaced = 4×2.5×0.0125 = 0.125 m3 Hence, option 4. Q10) Find the volume of a right circular cone of base radius 8 cm and height 10 cm. 1) 670.48 cm3 2) 2011.44 cm3 3) 1005.72 cm3 4) 838.1 cm3  Hence, option 1. |