Question

A piece of tin is in the form of a rectangle having length 12 cm and width 8 cm. This is used to construct a closed cube. The side of the cube is

Answer 1

Area of rectangle =area of cube
length×breadth=6a^2
96=6a^2
96÷6=a^2
16=a^2
a=4

Answer 2

Answer:

The side of cube is 4 cm.

Step-by-step explanation:

Given : A piece of tin is in the form of a rectangle having length 12 cm and width 8 cm. This is used to construct a closed cube.

To find : The side of the cube?

Solution :

We have given a rectangle

Length = 12 cm

Width = 8 cm

Area of rectangle is $A=L\times W$

$A=8\times 12$

$A=96 cm^2$

Area of closed cube is $A=6a^2$

Area of rectangle = Area of closed cube

$96=6 a^2$

$\frac{96}{6}=a^2$

$16=a^2$

$\sqrt{16}=a$

$a=4$

Therefore, the side of cube is 4 cm.