A metal cube of edge `3/10` m is melted and formed into three smaller cubes. If the edges of the two smaller cubes are `1/5m` and `1/4 m,` find the ed

A) taller than his actual height

 Correct option is  A) 400 Ω

Let l be the side of the cube and L, B, H be the dimensions of the cuboid Since l3 = 64 cm3 ∴ l = 4 cm Total surface area of cuboid is...

Correct option is (B) x – 2 Let the side length of the cube be x units. \(\therefore\) Volume of the cube \(=a^3\) cubic units. But given that volume of the cube is \(x^3-6x^2+12x-8.\) \(\therefore\) \(a^3=x^3-6x^2+12x-8\) \(=x^3-2x^2-4x^2+8x+4x-8\) \(=x^2(x-2)-4x(x-2)+4(x-2)\) \(=(x-2)(x^2-4x+4)\) \(=(x-2)(x-2)^2\) \(=(x-2)^3\) \(\Rightarrow\) a = (x - 2)...

Correct option is (C) 180 cm There are 12 edges in a cube and each edge is of equal length (15 cm). \(\therefore\) Total length of all the edges of the cube \(=12\times15\) = 180...

D) Both a and b are true

(i) false (ii) true (iii) true

Correct Answer - B Volume of new cube formed `= (3^(3) + 4^(3) + 5^(3)) cm^(3)` `= (27 + 64 + 125) cm^(3) = 216 cm^(3)` Let `a^(3) = 216 =...

Correct Answer - a Two ice cubes when pressed over each other unite due to hydrogen bond formation.