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5 questions
State whether the following statement is True or False. When a solid is converted from one shape to another, the volume of the new solid will be less than the volume of the original solid.
TRUE
FALSE
A solid cube of side 12 cm is cut into 8 cubes of equal volume. The side of the new cube is _______
12 cm
6 cm
3 cm
9 cm
How many spherical lead shots each having a diameter of 3 cm can be made from a cuboidal lead solid of dimensions 9 cm x 11 cm x 12 cm ?
10
168
84
48
The surface area of a solid metallic sphere is 616 cm². It is remelted and cast into a cone of height 28 cm. Find the diameter of the base of the cone so formed.
7 cm
14 cm
49 cm
98 cm
A farmer connects a pipe of internal diameter 25 cm from a canal into a cylindrical tank in his field, which is 12m in diameter and 2.5 m deep.If water flows through the pipe at 3.6 km/hr, in how much time will the tank be filled?
92 min
69 min
94 min
96 min
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