A metal sheet 32 cm long,16cm broad and 1cm thick is melted into a cube. The side of cube is
Answers
Answered by
2
Answer:
Correct option is
B
286cm
2
We know that,
Total surface area of cuboid = 2 (lb + bh + hl)
Surface area of given cuboid
= 2(27 × 8+8 × 1+27 × 1) = 502 cm
2
Volume of cube = 27 × 8×1 = 216cm
3
∴ Edge of the cube a =
3
216
= 6 cm
We know that,
Total surface area of cube = 6a
2
Surface area of this cube = 6×(6)
2
= 216 cm
2
Hence, the difference of surface areas = 502−216=286 cm
2
Answered by
6
• A metal sheet is 32cm long, 16cm broad and 1cm thick has the volume of = 1 × b × h = 32 × 16 × 1 = 512cm^3
• As the sheet was melted to form a cube of edge length a, the volume of a cube = volume of the metal sheet
---> a^3 = 512cm^3
---> a = 8cm
Step-by-step explanation:
Hope it helps ❄️
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