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A cuboid of size 8cm, 4cm, …

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A cuboid of size 8cm, 4cm, 2cm is cut into cubes of equal size of 1cm side. What is the ratio of the surface area of the original cuboid to the surface areas of all the unit cubes so formed

Posted by Harjas Singh 6 years, 1 month ago

CBSE > Class 10 > Mathematics

4 answers

Rohit Friend Deepika 6 years, 1 month ago

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Rohit Friend Deepika 6 years, 1 month ago

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Jacquilene? Fernandez 6 years, 1 month ago

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Yogita Ingle 6 years, 1 month ago

The dimension of cuboid = 8×4×2;

The total surface area of cuboid = 2(lw+wh+hl);

Here l - length, w- width, h-height;

Total surface are = 2 (8×4+4×2+2×8)

= 2 (32+8+16) = 56×2 = 112 cm²;

This cuboid is cut into cube of equal sides 1cm, Volume of cube = 1cm^3;

Volume of cuboid = 8×4×2 = 64cm³;

Total no. of cubes = 64/1 = 64;

Total surface area of cube = 6;

The ratio of surface are of original cuboid to unit cube = 112/6 = 56/3

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CBSE > Class 10 > Mathematics