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Grade 9 · Math · Unit 6 of 7

Surface Area of Objects

Prisms, cylinders and joined shapes

What your child practises

Finding the surface area of a rectangular prism, of two solids joined together (taking away the faces that are hidden), and of a cylinder written in terms of π.

New Brunswick Curriculum skill descriptor: Shape and Space: 3D Objects and 2D Shapes · 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 cube with edges of 3 cm sits on top of a cube with edges of 5 cm, glued face to face. What is the surface area of the whole object, in cm²?

    answer boxcm²

  2. Question 2

    What is the surface area of a rectangular prism that is 10 cm long, 6 cm wide and 2 cm high, in cm²?

    answer boxcm²

  3. Question 3

    3 identical cubes are glued face to face in a straight row. How many cube faces can you see on the outside?

    • 13
    • 18
    • 14
    • 15

  4. Question 4

    Two rectangular prisms, 5 cm by 4 cm by 2 cm and 5 cm by 4 cm by 2 cm, are joined along their 4 cm by 2 cm faces. What is the surface area of the new object, in cm²?

    answer boxcm²

  5. Question 5

    A closed cylinder has radius 4 cm and height 9 cm. What is its total surface area, in terms of π?

    • 72π cm²
    • 104π cm²
    • 288π cm²
    • 88π cm²

  6. Question 6

    A cylinder has radius 6 cm and height 7 cm. What is the area of its curved side, in terms of π?

    • 42π cm²
    • 84π cm²
    • 120π cm²
    • 156π cm²

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