Question

please do step by step explanation​

Answer 1

Question:

A box which measure 50 cm × 36 cm × 12 cm is to be covered with Canvas. How many meters of Canvas of width 80 cm would be required to cover 150 such boxes?

Answer:

The required length = 10620 cm

Step-by-step explanation:

Given :

The dimensions of the box : 50 cm × 36 cm × 12 cm

To find :

the length of Canvas of width 80 cm required to cover 150 boxes

Solution :

Let's first find the total surface area of the box.

length, l = 50 cm

breadth, b = 36 cm

height, h = 12 cm

Total surface area of cuboid = 2(lb + bh + lh)

Total Surface Area of the box :

= 2(50×36 + 36×12 + 50×12)

= 2(1800 + 432 + 600)

= 2(2832)

= 5664 cm²

width of the canvas = 80 cm

Length of the canvas required to cover 1 box

  length × width of the canvas = total surface area of a box

  length × 80 cm = 5664 cm²

  length = 5664/80

  length = 70.8 cm

∴ The length of the canvas required to cover 1 box = 70.8 cm

To cover 150 boxes,

required length = 70.8 × 150

required length = 10620 cm

Answer 2

Step-by-step explanation:

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given,

1) length of box = 50cm

breadth of box = 36cm

height of box = 12cm

2) width of canvas = 80cm

$\huge\fcolorbox{black}{pink}{answer}$

area of box = 2[lb+bh+hl]

= 2[(50cm×36cm)+(36cm×12cm)+(12cm×50cm)]

= 2[1800cm²+432cm²+600cm²]

= 2[2832cm²]

= 5664cm²

.: according to question area of box = area of canvas

area of canvas = length of canvas×breadth of canvas.

.: 5664cm² = length of canvas×80cm

length of canvas = 5664cm²/80cm

.: length of canvas = 70.8cm

.: for 1 box length of canvas = 70.8cm

for 150 boxes = 70.8cm×150 = 10620cm