1. Lesson 5

1.2. Are You Ready?

Mathematics 20-3 Module 7

Module 7: Volume and Capacity

 

Are You Ready?
  1. What are the first five perfect squares? Answer

  2. What are the first five perfect cubes? Answer

  3. Calculate . Answer

  4. A large cube has sides twice as long as the sides of a small cube. How many times larger in surface area is the large cube?

    In this graphic a small cube is shown to have each side measuring s, and a large cube is shown to have each side measuring two s.

    Answer

  5. If the radius of a sphere is tripled, how many times larger is the surface area of the large sphere than the surface area of the smaller sphere?

    In this graphic the radius of a small sphere is r, and the radius of a large sphere is three r.

    Answer

  6. Kayaks of the Inuit of the Central Canadian Arctic, such as the one shown, were built for speed to pursue caribou on lakes and rivers. The kayaks were covered with the skins of caribou or seal and were light, watertight, and manoeuvrable.

    If a second kayak with the same proportions is constructed with double the surface area, how many times longer would the kayak be? Round your answer to one decimal place.

    This is a photo of a traditional kayak used by the Inuit.
    © Canadian Museum of Civilization Corporation

    Answer

If you answered the Are You Ready? questions without problems, move on to Discover.

 

If you found the Are You Ready? questions difficult, complete Refresher to review these topics.