Question

the dimensions of a metallic cuboid are 100cm × 270cm × 125cm. it is melted and recast into a cube. find the edge of cube and total surface area of cube​

Answer 1

Answer:

Given,

l=100cm

b=270cm

h=125cm

let the edge of cube be 'a' cm

when the cuboid is recast into a cube then,

volume of cuboid = volume of cube

l×b×h = a^3

100×270×125=a^3

337500=a^3

a=3√337500

a=150 cm

THE EDGE OF CUBE IS 150 cm

total surface area of cube = 6a^2

total surface area of cube= 6×150× 150

total surface area of cube = 135000 cm^2

THE TOTAL SURFACE AREA OF CUBE IS 135000 cm^2

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