Question

A box measures 40 cm x 15 cm x 45 cm It has to be covered with cloth. How many meters of fabric with width of 50 cm will be required

Answer 1

Answer:

121cm

Step-by-step explanation:

Tsa of cubiod:2(lb+bh+lh)

:2(40*15+15*45+40*45)

:2(600+625+1800)

2*3025

:6050sq. cm

Metre of cloth required:6050/50

:121 cm

Answer 2

Given : A box measures 40 cm x 15 cm x 45 cm. It has to be covered with cloth.

To find : How many meters of fabric with width of 50 cm will be required?

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the required length of fabric)

First of all, we have to calculate the total surface area of the box.

Here, we will assume :

Length of the box = 40 cm

Width of the box = 15 cm

Height of the box = 45 cm

Now, total surface area of the box will be :

= 2 × [(length × width) + (length × height) + (width × height)]

= 2 × [(40×15) + (40×45) + (15 × 45)]

= 2 × (600 + 1800 + 675)

= 2 × 3075

= 6150 cm²

Let, the length of required cloth = x cm

So, area of the required cloth = Length × Width = x × 50 = 50x cm²

Now,

Total surface area of the box = Area of the required cloth

So,

6150 = 50x

50x = 6150

x = 6150/50

x = 123

So, the required length of the cloth = x cm = 123 cm

(This will be considered as the final result.)

Hence, the required length of the cloth is 123 cm.