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.

   Pia covers a box that is 9 cm by 4 cm by 3 cm with a design. Each sticker sheet covers 6 square cm and sheets do not overlap. How many sheets are needed?

   25
4. 4.

   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

5. 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.

6. 5.

   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

7. 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.

8. 6.

   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

9. 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.

10. 7.

    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
11. 8.

    Esme's triangular prism net has two right triangles (legs 9 cm and 12 cm, long side 15 cm) and three rectangles 8 cm long. Which expression gives the surface area?

    • 2 × (½ × 9 × 12) + (9 + 12 + 15) × 9
    • 2 × (½ × 9 × 12) + (9 + 12 + 15) × 8
    • (9 + 12 + 15) × 8
    • 2 × (9 × 12) + (9 + 12 + 15) × 8
12. 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
    • 2 × (½ × 20 × 21) + (20 + 21 + 29) × 20
    • 2 × (½ × 20 × 21) + (20 + 21 + 29) × 3
    • (20 + 21 + 29) × 3
13. 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 × 5)
    • 4 × (½ × 5 × 6)
    • 5 × 5 + 4 × (5 × 6)
    • 5 × 5 + 4 × (½ × 5 × 6)