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Grade 9 · Math · Unit 8 of 11

Composite Surface Area

Find the surface area of objects made from prisms and cylinders.

What your child practises

Practises the surface area of composite 3-D objects made from right cylinders, rectangular prisms and triangular prisms, including subtracting the faces that are hidden.

Manitoba Curriculum learning outcome: 9.SS.2 · surface area of composite 3-D objects

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    A cylinder has a radius of 3 cm and a height of 10 cm. What is its surface area, to the nearest cm²?

    • 283 cm²
    • 188 cm²
    • 245 cm²

  2. Question 2

    Which solids may a composite object in Grade 9 be made from?

    • pyramids only
    • spheres and cones only
    • right cylinders, rectangular prisms and triangular prisms

  3. Question 3

    Two cubes with 2 cm edges are glued face to face. What is the surface area of the new object?

    • 24 cm²
    • 48 cm²
    • 40 cm²

  4. Question 4

    A right triangular prism has a triangle with legs 3 cm and 4 cm and a hypotenuse of 5 cm. Its length is 10 cm. What is its surface area?

    • 120 cm²
    • 132 cm²
    • 72 cm²

  5. Question 5

    A tower of three 2 cm cubes is 2 cm by 2 cm by 6 cm. What is its surface area?

    • 56 cm²
    • 72 cm²
    • 48 cm²

  6. Question 6

    A 2 cm cube sits on top of a box that is 8 cm by 5 cm by 2 cm. What is the surface area of the combined object?

    • 164 cm²
    • 148 cm²
    • 132 cm²

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