Question

A solid metallic cuboid of dimensions 9m× 8m×2m is melted and recast into solid cubes of edge 2m. find the number of cubes so formed

Answer 1

Answer:

$Number \: cubes \: made \\by \: the \: solid \:cube = 18$

Step-by-step 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

$n = \frac{Volume\:of \:a \: cuboid }{volume \:of \:each \:cube}$

$=\frac{lbh}{a^{3}}$

$=\frac{9\:m\times 8\:m\times 2\:m}{(2\:m)^{3}}$

$=\frac{9\:m\times 8\:m\times 2\:m}{2\:m\times 2\:m\times 2\:m}$

$=18$

Therefore,

$Number \: cubes \: made \\by \: the \: solid \:cube = 18$

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Answer 2

Answer:

I hope it will help you

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