Question

a cuboid has sides 12cm,6cm and 3cm.a cube with an equal volume will have the side of???

Answer 1

Cuboid = 12,6,3
Volume of cuboid
= lxbxh
So volume = 12 x6 x 3

= 216 m3

Volume of cuboid = volume of cube


216= 216

Volume of cube = 6a squared
= 6a2 = 216

a2= 216/6
a2 =. 36

a = 6


A cube will have the side of 6 cm

Answer 2

$length = 12 cm \\ breadth = 6cm \\ height = 3 cm \\ volume of cuboid = l \times b \times h \\ = 12 \times 6 \times 3 \\ = {216cm}^{3} \\ given that volume of cuboid and cube are same, so \\ volume of cuboid = volume of cube \\ {216cm}^{3} = {side}^{3} \\ \sqrt[3]{216} = side \\ 6cm = side \\ So side of cube = 6cm$