Question

The number of unit cubes to be added to make a cuboid of dimensions 4 unit x 4 unit x 2 unit is​

Answer 1

$n=32$

Step-by-step explanation:

Given; dimension of cube is  1 unit

dimension of cuboid is length=4 unit,breadth=4 unit,height=2 unit

let the number of cube be  =n

$volume of cube =a^{3}$

$volume of cuboid=l\times b\times h$

$volume of cube =4\times 4\times 2$

$=32$

$volume of cube=1^{3}$

$=1$

$n\times 1=32$

$n=32$

the required number of unit cube is  32

Answer 2

To find the number of unit cubes to be added to make a cuboid of dimensions 4 unit x 4 unit x 2 unit :

• Volume of a cube having sides of 1 unit length = 1 ^ 1 ^ 1 = 1 unit^2
• And the volume of cuboid having dimensions 4 unit x 4 unit x 2 unit will be = 4 x 4 x 2 = 32 unit^2
• So the number of unit cubes required to make a cuboid of required dimension will be = 32/1 = 32 cubes.

So, the number of unit cubes required to make the cuboid of required dimensions will be 32.