Cubes A, B, C having edges 18 cm, 24 cm and 30 cm respectively are m

1.	Cubes A, B, C having edges 18 cm, 24 cm and 30 cm respectively are melted and moulded into a new cube D. Find the edge of the bigger cube D.
Answer» Given details are, Edge length of cube A = 18 cm Edge length of cube B = 24 cm Edge length of cube C = 30 cm Then, Volume of cube A = v₁ = 18³ = 5832cm³ Volume of cube B = v₂ = 24³ = 13824cm³ Volume of cube C = v₃ = 30³ = 27000cm³ Total volume of cube A,B,C = 5832 + 13824 + 27000 = 46656 cm³ Let ‘a’ be the length of edge of newly formed cube. a³ = 46656 a =³√(46656) = 36 ∴ Edge of bigger cube is 36 cm.

Cubes A, B, C having edges 18 cm, 24 cm and 30 cm respectively are melted and moulded into a new cube D. Find the edge of the bigger cube D.

Answer»

Given details are,

Edge length of cube A = 18 cm

Edge length of cube B = 24 cm

Edge length of cube C = 30 cm

Then,

Volume of cube A = v₁ = 18³ = 5832cm³

Volume of cube B = v₂ = 24³ = 13824cm³

Volume of cube C = v₃ = 30³ = 27000cm³

Total volume of cube A,B,C = 5832 + 13824 + 27000 = 46656 cm³

Let ‘a’ be the length of edge of newly formed cube.

a³ = 46656

a =³√(46656)

= 36

∴ Edge of bigger cube is 36 cm.