Question

A rectangular metal sheet is 8.5 metre long and 3.8 metres wide.
How many closed box of dimension 17 centimetre into 19 centimetres into 5 centimetres can be made out of it.​

Answer 1

Dimensions of the Sheet :

• Length of the Sheet = 8.5m = 850cm
• Breadth of the Sheet = 3.8m = 380cm

Dimensions of the Box :

• Length of the Box = 17cm
• Breadth of the Box = 19cm
• Height of the Box = 5cm.

To Find :-

• How many Closed Boxes can be made from the Sheet.

Solution :-

➽T.S.A of Box = 2( lb + bh + hl )

➽T.S.A of Box = 2( 17 × 19 + 19 × 5 + 5 × 17 )

➽T.S.A of Box = 2( 323 + 95 + 85 )

➽T.S.A of Box = 2( 323 + 180 )

➽T.S.A of Box = 2 × 503

➽T.S.A of Box = 1006cm²

Thus, T.SA of the Box = 1006cm²

________________

➽Area of Sheet = Length × Breadth

➽Area of Sheet = 850 × 380

➽Area of Sheet = 323000cm²

Thus, Area of Sheet = 323000cm²

________________

➽ No. of Boxes = Area of Sheet / T.S.A of Box

➽ No. of Boxes = 323000 / 1006

➽ No. of Boxes = 321 boxes { approx }

Thus, 321 boxes can be made from the Sheet.

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Answer 2

Step-by-step explanation:

Answer: 321 closed boxes can be made.