A plastic box 1.5m long 1.25m wide and 65 cm deep is to be made. It is opened at the top. Ignoring the thicknesses of the plastic sheet, determine:
(i) The area of the sheet required for making the box.
(ii) The cost of sheet for it, if A sheet measuring 1m² costs ₹20.
Answers
Answer:
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Question:
A plastic box 1.5m long 1.25m wide and 0.65 cm deep is to be made. It is opened at the top. Ignoring the thicknesses of the plastic sheet, determine:
(i) The area of the sheet required for making the box.
(ii) The cost of sheet for it, if A sheet measuring 1m² costs ₹20.
Given:
• Length of a box = 1.5m.
• Breadth of a box = 1.25m.
• Height of box = 0.65m.
To find:
• The area of the sheet required for making the box.
• The cost of sheet for it, If a sheet measuring 1m² costs ₹20.
Solution:
(i) Area of sheet required fo making the box = 2lb + 2bh + 2lb - lb.
⟹ 2lb + 2bh + 2lb - lb.
Put the given value in formula.
We get,
⟹ [2 × 1.5 × 0.65 + 2 × 1.25 × 0.65 + 1.5 × 1.25] m²
⟹ [1.95 - 1.625 + 1.875] m²
⟹ 5.45m²
∴ The area of sheet required is 4.45m².
(ii) Cost of sheet per m² = ₹20
⟹ Cost of sheet per 5.45m²,
⟹ ₹ 5.45 × 20
⟹ ₹ 109
∴ The cost of sheet is ₹109.