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4. Rectangular Parallelopiped or Cuboid
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Q10 of 35 Page 74

Each side of a cube is decreased by 50%. Let us calculate the ratio of the volumes original cube and changed cube.

Original cube:


Let the edge of the original cube be a cm


∴ Volume of the original cube = a3


Cube after 50% decrease in each side:


As edge is decreased by 50%


∴ a =


So, volume of the changed cube


Hence,


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8

If the sum of the areas of 6 surfaces of the cube be 216 sq. cm , then let us calculate the volume of the cube.

9

The volume of rectangular parallelepiped is 432 sq cm.If it is converted into 2 cubes of equal volumes, then let us calculate the length of each edge of each cube.

11

If the ratio of length breadth and height of a cuboidal box is 3:2:1 and its volume is 384cc. then let us calculate the total surface area of the box.

12

The inner length, breadth, and height of a box of tea are 7.5 dcm.and 5.4dcm. respectively, if the weight of the box filled with tea is 52 kg 350 gm., but in the empty state, its weight is 3.5 kg , then let us write by calculating, the weight of 1 cubic cm. tea.

Questions · 35
4. Rectangular Parallelopiped or Cuboid
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