The text you provided contains three separate questions. Here are the solutions for each:

Question 1:
The label on a can of baked beans is essentially a rectangle when flattened out. The length of the rectangle is the circumference of the can, and the width is the height of the can. The formula for the circumference of a circle is 2πr, where r is the radius. So, the length of the label is 2π(4.5cm) = 28.27cm. The width of the label is the height of the can, 11cm, plus the 1cm overlap, so 12cm. The area of a rectangle is length x width, so the area of the label is 28.27cm x 12cm = 338.24cm².

Question 2:
The total area of the paper is 15cm x 20cm = 300cm². Since the paper is to be divided into two equal areas, each area should be 300cm²/2 = 150cm². The L-shaped region is composed of two rectangles. If the width of the L-shape is x, then the dimensions of the two rectangles are 15cm x x and (20cm - x) x x. Therefore, the equation to solve is 15x + x(20 - x) = 150. Solving this quadratic equation will give the value of x.

Question 3:
The capacity of the trough is the area of the cross section multiplied by the length of the trough. The cross section is a triangle, so its area is 1/2 x base x height. The base is 2m and the height is 1m, so the area is 1m². Therefore, the capacity of the trough is 1m² x 6m = 6m³. Since 1 kiloliter is equal to 1 cubic meter, the capacity of the trough is 6 kiloliters.

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The text you provided contains three separate questions. Here are the solutions for each:

Question 1:
The label on a can of baked beans is essentially a rectangle when flattened out. The length of the rectangle is the circumference of the can, and the width is the height of the can. The formula for the circumference of a circle is 2πr, where r is the radius. So, the length of the label is 2π(4.5cm) = 28.27cm. The width of the label is the height of the can, 11cm, plus the 1cm overlap, so 12cm. The area of a rectangle is length x width, so the area of the label is 28.27cm x 12cm = 338.24cm².

Question 2:
The total area of the paper is 15cm x 20cm = 300cm². Since the paper is to be divided into two equal areas, each area should be 300cm²/2 = 150cm². The L-shaped region is composed of two rectangles. If the width of the L-shape is x, then the dimensions of the two rectangles are 15cm x x and (20cm - x) x x. Therefore, the equation to solve is 15x + x(20 - x) = 150. Solving this quadratic equation will give the value of x.

Question 3:
The capacity of the trough is the area of the cross section multiplied by the length of the trough. The cross section is a triangle, so its area is 1/2 x base x height. The base is 2m and the height is 1m, so the area is 1m². Therefore, the capacity of the trough is 1m² x 6m = 6m³. Since 1 kiloliter is equal to 1 cubic meter, the capacity of the trough is 6 kiloliters.

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The text you provided contains three separate questions. Here are the solutions for each:

Question 1:
The label on a can of baked beans is essentially a rectangle when flattened out. The length of the rectangle is the circumference of the can, and the width is the height of the can. The formula for the circumference of a circle is 2πr, where r is the radius. So, the length of the label is 2π(4.5cm) = 28.27cm. The width of the label is the height of the can, 11cm, plus the 1cm overlap, so 12cm. The area of a rectangle is length x width, so the area of the label is 28.27cm x 12cm = 338.24cm².

Question 2:
The total area of the paper is 15cm x 20cm = 300cm². Since the paper is to be divided into two equal areas, each area should be 300cm²/2 = 150cm². The L-shaped region is composed of two rectangles. If the width of the L-shape is x, then the dimensions of the two rectangles are 15cm x x and (20cm - x) x x. Therefore, the equation to solve is 15x + x(20 - x) = 150. Solving this quadratic equation will give the value of x.

Question 3:
The capacity of the trough is the area of the cross section multiplied by the length of the trough. The cross section is a triangle, so its area is 1/2 x base x height. The base is 2m and the height is 1m, so the area is 1m². Therefore, the capacity of the trough is 1m² x 6m = 6m³. Since 1 kiloliter is equal to 1 cubic meter, the capacity of the trough is 6 kiloliters.

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