Q.2- A plastic box 1.5 m long. 1.25 m wide and 65 cm deep is to be mad

1.	Q.2- A plastic box 1.5 m long. 1.25 m wide and 65 cm deep is to be made. It is opened at the top.Ignoring the thickness of the plastic sheet, determine the area of the sheet required for making thebox ) The cost of sheet for it, f a sheet measuring 2 1m costs Rs. 20
Answer» ★ 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 ____________________________

Q.2- A plastic box 1.5 m long. 1.25 m wide and 65 cm deep is to be made. It is opened at the top.Ignoring the thickness of the plastic sheet, determine the area of the sheet required for making thebox ) The cost of sheet for it, f a sheet measuring 2 1m costs Rs. 20

Answer»

★ 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