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2) A solid cube of side 12 cm is cut into 8 identical cubes each havingthe same volume. What will be the side of the new cubes? Also findout the surface area of both the cubes? |
Answer» VOLUME Of New Cubes is 216 cm²Surface AREA Of Original Cube is 864 cm²Surface Area Of New Cubes is 216 cm²Step-by-step explanation: GIVENSide = 12 cm Identical Cube = 8 of equal Sides ___________________________TO FINDVolume Of New cubes Surface Area Of Original Cube Surface Area Of New Cubes ___________________________Volume Of Original CubesWe know that, Volume Of Cube = Side³ Volume Of Cube = 12³ Volume Of Cube = 1728 Volume Of Cube = 1728 cm²Volume Of Original Cube is 1728 cm²___________________________Volume Of New CubesVolume Of New Cubes = Volume Of Original Cube / 8 Volume Of New Cubes = 1728 / 8 Volume Of New Cubes = 216 Volume Of New Cubes = 216 cm²Volume Of New Cubes is 216 cm²___________________________Side Of New CubesWe know that, Volume Of Cube = Side³ 216 = Side³ Side = ∛216 Side = 6 Side = 6 cmSide of new cubes is 6 cm___________________________Surface Area Of Original CubeWe know that, Surface Area Of Cube = 6 × Side² Surface Area Of Cube = 6 × 12² Surface Area Of Cube = 6 × 144 Surface Area Of Cube = 864 Surface Area Of Cube = 864 cm²Surface Area Of Original Cube is 864 cm²___________________________Surface Area Of New CubesWe know that, Surface Area Of Cube = 6 × Side² Surface Area Of Cube = 6 × 6² Surface Area Of Cube = 6 × 36 Surface Area Of Cube = 216 Surface Area Of Cube = 216 cm² Surface Area Of New Cubes is 216 cm² |
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