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17. The dimensions of a metallic cuboid are 100 cm x 80 cm x 64 cm. It is melted and recast
into a cube
Find: (i) the edge of the cube, (ii) the surface area of the cube.
Answers
Answered by
6
Answer:
dimensions of the metallic cuboid
L = 100cm b = 80. h=64cm
Volume = l×b×h = 100×80×64=5,12,000cm³
it is melted into a cube. let a be the edge of cube.
therefore, volume of cuboid = volume of cube
=>a³ = 512000cm³
=> a = cube root of 512000
=> a = 80cm
surface area of the cube = 6(a)²
= 6(80)²
= 6(6400)
= 38400cm²
I hope it helps you.
Answered by
2
Answer:
Volume of cube = Volume of the cuboid
a
3
=100×80×64
a
3
=512000
a=80 cm
Surface area = 6a
2
=38400 cm
2
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