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The Guides for Effective Instruction in Mathematics Revised

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E2.6 Represent cylinders as nets and determine their surface area by adding the areas of their parts.

Activity 1: Surface Area of Cylinders

  1. Represent the cylinder as a net. Determine the surface area.
A cylinder whose radius of its base is 3 point 5 centimeters. The height of the cylinder is 8 centimeters.
  1. Here is the net of a cylinder. Determine its surface area.

Development of a cylinder. The radius of the base is 6 centimeters. The width of the side is 15 centimeters.

Source: adapted and translated from En avant, les maths!, 7e année, ML, Sens de l’espace, p. 12-13.

Activity 2: Problems Related to the Surface Area of Cylinders

  1. Represent the cylinder as a net, then determine its surface area.
A cylinder whose base has a diameter of 8 centimeters. And the height of the cylinder is 24 centimeters.
  1. From the net of the cylinder, determine its surface area.
Development of a cylinder. The radius of the base is 16 centimeters. The width of the side is 25 centimeters.
  1. Represent the cylinder as a net, then determine the surface area of the part of the hat that will sit on the dresser when it is placed down.
image A circular shaped hat whose diameter of the largest circular base is 22 centimeters. The diameter of the opposite base is smaller, 16 centimeters. The height of the hat is 12 centimeters.