Question

A solid metallic cuboid of dimensions 9 metre into 8 metre into 2 metre is metalled and recast into solid cube of edge 2 metre find the number of cubes of formed

Answer 1

YOUR QUESTION :

A solid metallic cuboid of dimensions 9 metre into 8 metre into 2 metre is metalled and recast into solid cube of edge 2 metre find the number of cubes of formed.

YOUR ANSWER :

Number cubes made by the solid cubes = 18.

ANSWER EXPLANATION :

Dimensions of a metallic cuboid

Length (l) = 9 m,

Breadth (b) = 8 m,

Height (h) = 2 m,

/*If solid metallic cuboid melted and recast into solid cubes of edge 2 m,*/

Dimensions of each cube:

Edge of a cube (a) = 2 m,

Let Number of cubes = n,

$n = \frac{volume \: of \: a \: cuboid}{volume \: of \: each \: cube} \\ = \frac{lbh}{ {a}^{3} } \\ = \frac{9m \times 8m \times 2m}{ {(2m)}^{3} }$

= 18

Therefore,

$number \: cube \: made \: by \: the \: solid \\ cube = 18$