Question

A cuboid made of metal has dimensions 27 CM X 18 cm x 12 CM. It is melted and recast it into small cubes of Edge 8 cm in length. How many cubes are made assuming that there is no wastage?

Answer 1

Answer:

27*18*12=5832cm3

8*8*8= 512cm3

5832/512=11.39 cubes

Answer 2

The number cubes were made is 11.

Step-by-step explanation:

Given : A cuboid made of metal has dimensions 27 cm × 18 cm × 12 cm. It is melted and recast it into small cubes of Edge 8 cm in length.

To find : How many cubes are made assuming that there is no wastage?

Solution :

A cuboid made of metal has dimensions 27 cm × 18 cm × 12 cm.

The volume of the cuboid is $V=l\times b\times h$

$V_C=27\times 18\times 12$

$V_C=5832\ cm^3$

It is melted and recast it into small cubes of Edge 8 cm in length.

The volume of the cube is $V=a^3$

$V_c=8^3$

$V_c=512\ cm^3$

The number of cubes were made is given by,

$\text{Number of cubes} = \frac{\text{Volume of cuboid}}{\text{Volume of cube}}$

$n= \frac{5832}{512}$

$n= 11.39$

Assuming that there is no wastage the number cubes were made is 11.

#Learn more

The dimensions of a metallic cuboid is 18cm x 12cm x 8cm.It is melted and recast into a cube Find the surface area of the cube formed

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