The surface area of a cube is 150 cm2. Its volume is : a) 64 $${\text{c}}{{\text{m}}^3}$$ b) 125 $${\text{c}}{{\text{m}}^3}$$
View QuestionThe sum of perimeters of the six faces of a cuboid is 72 cm and the total surface area of the cuboid is 16 cm^2. Find the longest possible length that can be kept inside the cuboid :
The sum of perimeters of the six faces of a cuboid is 72 cm and the total surface ...
View QuestionWhen a ball bounces, it rises to 2/3 of the height from which it fell. If the ball is dropped from a height of 36 m, how high will it rise at the third bounce ?
When a ball bounces, it rises to $$\frac{2}{3}$$ of the height from which it fell. If the ball ...
View QuestionA rectangular water reservoir contains 42000 litres of water. If the length of reservoir is 6 m and breadth of the reservoir is 3.5 m, then the depth of the reservoir will be :
a) 2 m b) 5 m c) 6 m d) 8 m Answer: a Explanation: Volume of the ...
View QuestionThe base of a right prism is a trapezium whose lengths of two parallels sides are 10 cm and 6 cm and distance between them is 5 cm. If the heights of the prism is 8 cm, its volume is :
a) 320 cm3 b) 300 cm3 c) 310 cm3 d) 300.5 cm3 Answer: a Explanation: Length of parallel sides ...
View QuestionLength of each edge of a regular tetrahedron is 1 cm. It volume is :
a) $$\frac{{\sqrt 3 }}{{12}}{\text{ }}c{m^3}$$ b) $$\frac{1}{4}\sqrt 3 {\text{ }}c{m^3}$$ c) $$\frac{{\sqrt 2 }}{6}{\text{ }}c{m^3}$$ d) $$\frac{1}{{12}}\sqrt 2 {\text{ }}c{m^3}$$
View QuestionA hemispherical bowl of internal radius 12 cm contains liquid. This liquid is to be filled into cylindrical container of diameter 4 cm and height 3 cm. The number of containers that is necessary to empty the bowl is :
a) 80 b) 96 c) 100 d) 112 Answer: b Explanation: Volume of hemispherical bowl : $$ ...
View QuestionThe ratio of the surface area of a sphere and the curved surface area of the cylinder circumscribing the sphere is :
a) 1 : 1 b) 1 : 2 c) 2 : 1 d) 2 : 3 Answer: a ...
View QuestionSome solid metallic right circular cones, each with radius of the base 3 cm and height 4 cm, are melted to form a solid sphere of radius 6 cm. The number of right circular cones is :
a) 6 b) 12 c) 24 d) 48 Answer: c Explanation: Volume of sphere : $$\eqalign{ & = \left( {\frac{4}{3}\pi \times ...
View QuestionA sphere and a cube have equal surface area. The ratio of the volume of the sphere to that of the cube is :
a) $$\sqrt \pi :\sqrt 6 $$ b) $$\sqrt 2 :\sqrt \pi $$ c) $$\sqrt \pi :\sqrt 3 $$ d) $$\sqrt 6 ...
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