Question

Create the net for a soup can with the dimensions of your choice. make sure to be realistic. label the dimensions . calculate the surface area of the can . calculate the volume of the can

Answer 1

To create the net for a soup can, flatten the cylindrical shape to form a rectangle and two circles. Calculate the surface area by finding the areas of the rectangle and circles, and calculate the volume by multiplying the area of the circle by the height of the can.

Step-by-step explanation:

To create the net for a soup can, you will need to cut and flatten the cylindrical shape of the can to create a two-dimensional shape. The net will consist of a rectangle for the main body of the can, and two circles for the top and bottom of the can. The dimensions of the net will depend on the size of the can you choose.

To calculate the surface area of the can, you will need to find the areas of the rectangle and the two circles. The formula for the area of a rectangle is length times width, and the formula for the area of a circle is π times the radius squared. Add the areas together to get the total surface area of the can.

To calculate the volume of the can, you will multiply the area of the circle (π times the radius squared) by the height of the can.

Answer 2

The side wall will have dimensions of 25.13 cm (length) x 12 cm (height).

The surface area of the can is approximately 351.83 cm², and the volume of the can is approximately 603.19 cm³.

Sure, let's create a net for a soup can with realistic dimensions. Let's assume the following dimensions for the can:

Diameter (d) = 8 centimeters

Height (h) = 12 centimeters

Now, let's create the net:

1. Side Wall:

- The side wall of the can will be a rectangular strip that wraps around the circumference of the circular base.

- The length of the side wall will be equal to the circumference of the base, which can be calculated as:

Circumference = π * Diameter = π * 8 cm = 25.13 cm

- The height of the side wall is the same as the height of the can, which is 12 cm.

- Therefore, the side wall will have dimensions of 25.13 cm (length) x 12 cm (height).

2. Circular Base:

- The circular base of the can has a diameter of 8 cm.

- The radius (r) of the base is half of the diameter, so r = 4 cm.

- The area of the circular base can be calculated as:

Area = π * r^2 = π * (4 cm)^2 = 16π cm²

Now, let's calculate the surface area and volume of the can:

b. Surface Area of the Can:

- The can consists of two parts: the side wall and the circular base.

- The surface area of the side wall is given by:

Side Wall Area = Length * Height = 25.13 cm * 12 cm = 301.56 cm²

- The surface area of the circular base is already calculated as 16π cm².

- So, the total surface area of the can is the sum of these two areas:

Total Surface Area = Side Wall Area + Base Area = 301.56 cm² + 16π cm² ≈ 301.56 cm² + 50.27 cm² ≈ 351.83 cm²

c. Volume of the Can:

- The volume of the can can be calculated using the formula for the volume of a cylinder, which is the area of the base multiplied by the height:

Volume = Base Area * Height = (16π cm²) * 12 cm = 192π cm³ ≈ 603.19 cm³

So, the surface area of the can is approximately 351.83 cm², and the volume of the can is approximately 603.19 cm³.

The complete Question is given below

Create the net for a soup can with the dimensions of your choice. Make sure to be realistic. Label the dimensions. b. Calculate the surface area of the can. (Hint: Area o f a circle =π r^2 c. Calculate the volume of the can. (Hint: Volume = area of the base× height )