Question

A rectangular block of metal is 27cm long, 7cm wide and 12cm high.

Answer 1

Answer:

length of side of newly formed cube = 13.13cm

Step-by-step explanation:

the volume of the rectangular metal block (V)=

length (L) × width (B) × height (H)

=》V = 27 × 7 × 12

=》V = 2268 cubic cm

and if it is melted and casted into a metal cube, then the volume remains the same

so, volume of cube = 2268 cubic cm

now,

let the measures of sides of the cube formed be a

volume of cube (V) =

$(side ){}^{3}$

=》

$2268 = {a}^{3}$

=》

$a =\sqrt[3]{2268}$

=》

$a = 13.13$