1. Lesson 7

1.1. Are You Ready?

Mathematics 20-2 Module 6 Lesson 7

Module 6: Proportional Reasoning

 

Are You Ready?
  1. What makes a prism different from a pyramid? Answer

  2. Look at the 3-D objects in the illustration. Identify whether each one is a prism or a pyramid.

    This is an illustration of pyramids and prisms.

    Answer

  3. Determine the surface area of the following pyramid to the nearest square inch.

    This is an illustration of a square pyramid with a base length of 6 inches and a slant height of 4 inches.

    Answer

  4. Determine the surface area of the cylinder to the nearest square centimetre.

    This is an illustration of a cylinder with a radius of 3 cm and a height of 5 cm.

    Answer

  5. Determine the surface area of the following prism, rounded to the nearest square centimetre.

    This is an illustration of a right triangular prism. The triangular base of the prism has two sides with lengths of 8 cm and 6 cm and a hypotenuse with a length of 10 cm. The length of the rectangular face of the prism is 12 cm.

    Answer

  6. Consider the net shown. What does this net represent?

    This is an illustration of a net. There are 4 squares that lie in a row along the net. These squares have sides that are 10 cm in length. Two 5 cm by 10 cm rectangles lie adjacent to the second 10 cm by 10 cm square.

    1. A cube with a side 10 cm.

    2. A box with a length and width of 10 cm and a height of 5 cm.

    3. A box with a length and width of 5 cm and a height of 10 cm.

    4. This net does not represent a box.

    Answer

  7. Find the surface area of the following sphere to the nearest square metre.

    This is an illustration of a sphere with a radius of 3 metres.

    Answer

  8. Determine the radius of a sphere with a surface area of 64π cm2. Report your answer to the nearest centimetre. Answer

  9. Determine the surface area of the following cone to the nearest square foot.

    This is an illustration of a right cone with a diameter of 36 feet and a slant length of 35 feet.

    Answer

  10. What are some differences between area and volume? Answer

  11. What is the formula for the volume of a rectangular prism? Answer

  12. Find the volume of a rectangular prism with a length of 14 m, a width of 3 m, and a height of 2 m. Answer

  13. How could you find the volume of a 3-D object without multiplying or using a formula? Answer

  14. Find the volume of the triangular prism shown here.

    This is an illustration of a right triangular prism with a slant height of 3 m, a base of 3 m, and a length of 10 m.

    Answer

  15. Find the volume of the square pyramid shown in the diagram.

    This is an illustration of a square pyramid with base dimensions of 4 cm on each side and a height of 12 cm.

    Answer