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A solid metallic cuboid of dimensions 9m...

A solid metallic cuboid of dimensions `9m xx 8m xx2` is melted and recast in to solid cubes of edge 2 m .find the number of cubes so formed.

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18
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Knowledge Check

  • A solid metallic cuboid of dimensions 18cmxx36cmxx72cm is melted and recast into 8 cubes of the same volume. What is the ratio of the total surface area of the cuboid to the sum of the lateral surface areas of all 8 cubes?

    A
    `2:3`
    B
    `7:12`
    C
    `4:7`
    D
    `7:8`

  • A solid metallic cube of edge 4 cm is melted and recast into solid cubes of edge 1 cm. If x is the surface area of the melted cube and y is the total surface area of the cubes recast, then what is x:y ?

    A
    `2:1`
    B
    `1:2`
    C
    `1:4`
    D
    `4:1`

  • A solid metallic sphere of radius 4 cm is melted and recast into '4' identical cubes. What is the side of the cube?

    A
    `7 sqrt(pi/3)` cm
    B
    `5^3 sqrt(pi/3)`cm
    C
    `6^3 sqrt (pi/3) cm`
    D
    `4^3 sqrt(pi/3)` cm

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    A solid metallic sphere of radius 4 cm is melted and recast into '4' identical cubes. What is the side of the cube?

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