Math, asked by sahilnirwan9398, 1 year ago

A cuboid of edge 32 cm, 8 cm, 6 cm, is cut to form cube of edge 4 cm each. What is the sum of total surface area of all cubes formed

Answers

Answered by CᴀɴᴅʏCʀᴜsʜ
0

Answer:

Vol of cuboid = (32 × 8 × 6) cm^3

Vol. of cube = 4^3 cm^3

Total no. of cube = vol of cuboid/vol of 1 cube

= (32 × 8 ×6) cm^3/(4 × 4 × 4) cm^3

= 24

24 cubes will be formed whose edges are 4cm from a cuboid whose edges are 32cm , 8 cm and 6 cm .

SA of each cube = 6 × side^2 cm^2

= 6 × 4^2

= 96 cm^2

SA of each cube = 96cm^2

SA of such 24 cubes = 96 × 24 cm^2

= 2304 cm^2 Ans...

Hence ,

The sum of total surface area of all cubes formed is 2304 cm^2 .

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