Question

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

Answer 1

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A solid metallic cuboid of dimensions 9m x 2 m (given)

Length (I) = 9m

Breadth (b) = 8 m

Height (h) = 2 m

Edge of a cube (a) = 2m

Let n be the number of required cubes.

To.Find:

Value of n

Number of cubes = (Volume of a cuboid)/ volume of each cube

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

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

=18

Therefore, total number of 18 cubes required