Question

A plastic box 1.5m long, 1.25m wide and 65m.
deep isotope make. It is istope be opened the top
i) find the area of the sheet required for
making the box
2)the cost of sheet for it if a sheet measuring 1m² cost Rs 20​

Answer 1

Given:

✰ Length of a plastic box = 1.5 m

✰ Breadth of a plastic box = 1.25 m

✰ Depth of a plastic box = 65 m

To find:

✠ The area of the sheet required for making the box.

✠ The cost of sheet for it, if a sheet measuring 1 m² cost Rs. 20.

Solution:

To find the area of the sheet required for making the box, we will substract the area of top which is open from the area of whole box ( area of cuboid ) because the box is opened at the top.

➛ Area of sheet = Area of cuboid - Area of top which is open

➛ Area of sheet = 2( l × b + b × h + h × l ) - l × b

➛ Area of sheet = 2lb + 2bh + 2hl - lb

➛ Area of sheet = 2lb + 2bh + 2hl - lb

➛ Area of sheet = 2bh + 2hl + lb

Putting the values in the formula, we have:

➛ Area of sheet = 2 ( 1.25 × 65 ) + 2 ( 65 × 1.5 ) + ( 1.5 × 1.25 )

➛ Area of sheet = 2 × 81.25 + 2 × 97.5 + 1.875

➛ Area of sheet = 162.5 + 195 + 1.875

➛ Area of sheet = 359.375 m²

∴ The area of the sheet required for making the box = 359.375 m²

Now,

➛ Cost of sheet per m² = Rs. 20

➛ Cost of sheet per 359.375 m² = Rs. 20 × 359.375

➛ Cost of sheet per 359.375 m² = Rs. 7,187.5

∴ The cost of sheet per 359.375 m² = Rs. 7,187.5

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Answer 2

Given :

A Plastic Box 1.5 m long, 1.25 m wide and 65 cm.Its is isotope be opened the top.

To Find :

1.) Find the area of sheet Required for making the box.

2.) The cost of sheet For it if a sheet measuring 1 m² Cost at Rs 20

Solution :

1.)

Area of sheet = 2 (lb + bh + hl)

= 2 ( 1.25 × 65 ) + (65 × 1.5) + (1.5 × 1.25)

= 162.5 + 195 + 1.87

= 395. 375m²

Therefore,

Area of Sheet is 395.375 m²

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2.)

Cost of sheet = Rs 20

Cost of sheet per 395.375

= 395.375 × 20

= 7187.5

Therefore ,

The cost of sheet is Rs 7187.5

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