Question

A cuboid of dimensions 16*15*12 cm is melted and cubes of side 2 cm are made out of the material obtained. Find the number of cubes that were formed?​

Answer 1

Answer:

Volume of cuboid= l×b×h

= 16×15×12

=2880cm^3

Volume of 1 cube= a^3

= 2^3 = 8cm^3

Number of cubes formed

=Volume of cuboid÷Volume of one cube

= 2880÷8

=360 cubes.

In this answer, let us suppose a is ANY number.

a^3 means "cube of a"

Hoping it helps...

Answer 2

Answer:

360

Explanation:

Question says that, A cuboid of dimensions (16*15*12) cm is melted and reformed in cubes of side 2cm.

Find how many such subes were formed?

• Number of cubes formed is given by:—

= Volume of the cuboid ÷ Volume of the new cube

Calculating $\bf V_1$ (volume of the cuboid):—

$= l \times b \times h$

$= 16 \times 15 \times 12$

$= 2880 \rm {cm}^{3}$

Also,

Calculating $\bf V_2$ (volume of the cube):—

$\rm = {(side) }^{3}$

$= {(2)}^{3}$

$\rm = 8 {cm}^{3}$

∴ Number of cubes formed:—

$= \dfrac{2880}{8}$

$= 360$

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