Solid shapes: faces, edges, bases and the view from the front, side and top

Answer Key - Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Milo covers a box that is 10 cm long, 6 cm wide and 5 cm tall with stickers. Each sticker sheet covers 20 square cm and sheets do not overlap. How many sheets are needed?

   14
2. 2.

   Noah decorates a jewelry box that is 6 cm long, 5 cm wide and 4 cm tall. Each sticker sheet covers 4 square cm and sheets do not overlap. How many sheets are needed?

   37
3. 3.

   Ren wraps a flat box that is 12 cm long, 5 cm wide and 2 cm tall. Each sticker sheet covers 4 square cm and sheets do not overlap. How many sheets are needed?

   47

4. Read this first

   Net of a square pyramid

   a square base with sides of 10 cm and four matching triangles. The total area of all five faces is 260 square cm.

5. 4.

   Tala measures a pyramid roof with a square base of 10 cm and a total cover of 260 square cm. How tall is each triangle face, in cm?

   8

6. Net of a square pyramid

   a square base with sides of 8 cm and four matching triangles. The total area of all five faces is 160 square cm.

7. 5.

   Zee measures a pyramid lamp with a square base of 8 cm and a total cover of 160 square cm. How tall is each triangle face, in cm?

   6

8. Net of a square pyramid

   a square base with sides of 6 cm and four matching triangles. The total area of all five faces is 120 square cm.

9. 6.

   Ari measures a pyramid tent with a square base of 6 cm and a total cover of 120 square cm. How tall is each triangle face, in cm?

   7

10. Net of a square pyramid

    a square base with sides of 4 cm and four matching triangles. The total area of all five faces is 56 square cm.

11. 7.

    Bo measures a pyramid hat with a square base of 4 cm and a total cover of 56 square cm. How tall is each triangle face, in cm?

    5
12. 8.

    Jun's square pyramid net has a 12 cm square and four triangles, each with base 12 cm and height 9 cm. Which expression gives the surface area?

    • 12 × 12 + 4 × (½ × 12 × 12)
    • 12 × 12 + 4 × (12 × 9)
    • 4 × (½ × 12 × 9)
    • 12 × 12 + 4 × (½ × 12 × 9)
13. 9.

    Kira's triangular prism net has two right triangles (legs 20 cm and 21 cm, long side 29 cm) and three rectangles 3 cm long. Which expression gives the surface area?

    • 2 × (20 × 21) + (20 + 21 + 29) × 3
    • (20 + 21 + 29) × 3
    • 2 × (½ × 20 × 21) + (20 + 21 + 29) × 20
    • 2 × (½ × 20 × 21) + (20 + 21 + 29) × 3
14. 10.

    Luz's square pyramid net has a 5 cm square and four triangles, each with base 5 cm and height 6 cm. Which expression gives the surface area?

    • 5 × 5 + 4 × (½ × 5 × 6)
    • 5 × 5 + 4 × (5 × 6)
    • 4 × (½ × 5 × 6)
    • 5 × 5 + 4 × (½ × 5 × 5)