Maths-
General
Easy

Question

Given edges of the cubes as 3 cm, 4 cm, and 5 cm respectively. Its now melted and made into one single cube. Calculate the edge of a new cube.

  1. 3
  2. 6
  3. 9
  4. 12

Hint:

Volume of cube = a3
where a is side of cube
If all three cubes are melted and made into one cube then the volume of all 3 cubes will be equal to volume of single cube made.

The correct answer is: 6


    Let the cubes be A, B and C and their sides are x, y and z respectively

    x= 3cm

    y=4cm

    z= 5cm
    And let the side if final cube is w
    We will first add the volumes of the three cubes A, B and C
    Vol(A) + Vol(B) + Vol(C) = x3 + y3 + z3

    = 33 + 43 + 53

    = 27 + 64 + 125

    = 216
    The sum of volumes of cubes A , B and C is equal to the resultant cube we obtain by melting these three,
    Volume of final cube =  Vol(A) + Vol(B) + Vol(C)

    (w)3 = 216
    We know that 216 is the cube of 6
    Therefore, w = 6
    Therefore, the correct option is b) 6 .

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.