Anu made a cuboid with dimensions 10cm, 7cm, and 2cm. What is the leas

1.	Anu made a cuboid with dimensions 10cm, 7cm, and 2cm. What is the least number of such cuboids needed to form a cube?Please show clear explanationsThank you!
Answer» Step-by-step EXPLANATION: LCM of 10, 7 and 2 = 70 therefore side of CUBE formed = 70 cm volume of cube = a³ therefore v = 70³ = 343000 cm³ volume of cuboid = lbh therefore v = 10×7×2 = 140 cm³ no. of cuboids = 343000÷140 = 2450 therefore 2450 cuboids are needed to FORM a cube

Anu made a cuboid with dimensions 10cm, 7cm, and 2cm. What is the least number of such cuboids needed to form a cube?Please show clear explanationsThank you!

Answer»

Step-by-step EXPLANATION:

LCM of 10, 7 and 2 = 70

therefore side of CUBE formed = 70 cm

volume of cube = a³

therefore v = 70³ = 343000 cm³

volume of cuboid = lbh

therefore v = 10×7×2 = 140 cm³

no. of cuboids = 343000÷140 = 2450

therefore 2450 cuboids are needed to FORM a cube