Question

peremeter of a square if its diagonals is 10√2 cm​

Answer 1

★ Answer ★

↠The area of the sheet required for making the box is 5.45 m²

↠The cost of sheet is Rs. 109 , if a sheet measuring 1 m² costs Rs. 20.

Step by step Explanation

★ Given :-

Length = 1.5 m

Breadth = 1.25 m

Height = 65 cm

Converting it in " cm "

Length of the box in cm = 150 cm

Width of the box in cm = 125 m

★ Have to find :-

The area of the sheet required for making the box.

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

Diagram:-

$\setlength{\unitlength}{6}\begin{picture}(10,6) \put(0,1){\line(0,1){10}}\put(0,1){\line(1,0){10}}\put(10,1){\line(0,1){10}}\put(0,11){\line(1,0){10}}\put(0,11){\line(1,1){5}}\put(10,11){\line(1,1){5}}\put(10,1){\line(1,1){5}}\put(0,1){\line(1,1){5}}\put(5,6){\line(1,0){10}}\put(5,6){\line(0,1){10}}\put(5,16){\line(1,0){10}}\put(15,6){\line(0,1){10}}\put(2, - 0.5){ \bf 1.5 m }\put(13,3){ \bf 1.25 m }\put( - 5, 5){ \bf 0.65 m }\end{picture}$

★ Solution:-

As we know , the box is in cuboidal shape.

Now, As according to the Question

Box is opened at the top.

The area of the sheet required for making the box.

Using the forumula of T.S.A

↬ Area = TSA - Area of Top

↬ 2(lb + bh + hl) - lb

↬ 2lb + 2bh +2hl - lb

↬ lb + 2bh + 2hl

↬Area =( 150 × 125 ) + [ 2 × ( 125 × 65 ) ] + [2 × (65 × 150)]

↬ 18,750 + (2 × 8,125) + (2 × 9,750)

↬ 18,750 + 16,250 + 19,500

↬ 54,500 cm²

Firstly converting it into m²

↬ Area of sheet in m² = 5.45 m²

Now, let's find out the cost of sheet for it,

1m² costs given as Rs 20

Then,

Total Cost of Sheet = Area of sheet × Cost

↬ 5.45 m² × Rs. 20

↬ Rs. 109

➤ Cost of Sheet is Rs. 109

____________________________

Answer 2

★ Answer ★

↠The area of the sheet required for making the box is 5.45 m²

↠The cost of sheet is Rs. 109 , if a sheet measuring 1 m² costs Rs. 20.

Step by step Explanation

★ Given :-

Length = 1.5 m

Breadth = 1.25 m

Height = 65 cm

Converting it in " cm "

Length of the box in cm = 150 cm

Width of the box in cm = 125 m

★ Have to find :-

The area of the sheet required for making the box.

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

Diagram:-

$\setlength{\unitlength}{6}\begin{picture}(10,6) \put(0,1){\line(0,1){10}}\put(0,1){\line(1,0){10}}\put(10,1){\line(0,1){10}}\put(0,11){\line(1,0){10}}\put(0,11){\line(1,1){5}}\put(10,11){\line(1,1){5}}\put(10,1){\line(1,1){5}}\put(0,1){\line(1,1){5}}\put(5,6){\line(1,0){10}}\put(5,6){\line(0,1){10}}\put(5,16){\line(1,0){10}}\put(15,6){\line(0,1){10}}\put(2, - 0.5){ \bf 1.5 m }\put(13,3){ \bf 1.25 m }\put( - 5, 5){ \bf 0.65 m }\end{picture}$

★ Solution:-

As we know , the box is in cuboidal shape.

Now, As according to the Question

Box is opened at the top.

The area of the sheet required for making the box.

Using the forumula of T.S.A

↬ Area = TSA - Area of Top

↬ 2(lb + bh + hl) - lb

↬ 2lb + 2bh +2hl - lb

↬ lb + 2bh + 2hl

↬Area =( 150 × 125 ) + [ 2 × ( 125 × 65 ) ] + [2 × (65 × 150)]

↬ 18,750 + (2 × 8,125) + (2 × 9,750)

↬ 18,750 + 16,250 + 19,500

↬ 54,500 cm²

Firstly converting it into m²

↬ Area of sheet in m² = 5.45 m²

Now, let's find out the cost of sheet for it,

1m² costs given as Rs 20

Then,

Total Cost of Sheet = Area of sheet × Cost

↬ 5.45 m² × Rs. 20

↬ Rs. 109

➤ Cost of Sheet is Rs. 109

____________________________

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