If a cube has surface area S and volume V, then the volume of the cube of surface area 2S is : 1. 2. 2V 3. 4.

Question

KnowledgeBoat · Accepted Answer

Let the side of the first cube be a units and volume be V cubic units. We know that, Surface area of the cube = 6a2 ⇒ S = 6a2 ⇒ a2 = ⇒ a = Calculating the volume of first cube, Volume of cube (V) = a3 Substituting the value of a, we get, V = V = .......(1) Let the side of second cube be b units and volume be V' cubic units. Surface area = 6b2 ⇒ 2S = 6b2 ⇒ S = 3b2 ⇒ b2 = ⇒ b = Volume of second cube (V') = b3 Substituting the value of b, we get V' = V' = .......(2) Taking the ratio of equation (1) and (2) we get, Hence, option 3 is the correct option.

Mathematics

If a cube has surface area S and volume V, then the volume of the cube of surface area 2S is : 1. 2. 2V 3. 4.

Mensuration

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Mathematics

If a cube has surface area S and volume V, then the volume of the cube of surface area 2S is : 1. 2. 2V 3. 4.

Mensuration

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The area of a base of a cuboidal water tank is 6500 cm² and the volume of water contained in it is 2.6 m³. The depth of the water is :
5 m
4 m
3.5 m
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In the figure, four faces of the solid are shaded. The shaded area is :
100 cm²
150 cm²
200 cm²
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