Question

Rahul makes a cuboid of plasticine of sides 3cm × 3 cm × 5 cm . How many such cuboids will be need to form a cube

Answer 1

Answer:

Total no. of cuboids required = 75

Step-by-step explanation:

Given , volume of cuboid = 3×3×5

let no. of cuboids required to form a cube = n

let side of cube formed = x

so, volume of cube = x³

So we can conclude that volume of 'n' cuboids will be equal to volume of new formed cube.

therefore,

n×3×3×5 = x³

(LHS) (RHS)

if right hand side is a perfect cube (power 3) then left hand side will also be.......

so n= 3×5×5 =75

such that, x³= 3×3×5 ×n

= 3×3×5 × 3×5×5

= 3³×5³

= 3375 cm³

Total 75 cuboids (of volume 3×3×5) are required to form a cube, and the resulting cube have each side of 15cm and volume 3375cm³

Answer 2

Answer:

Step-by-step explanation: