Nets and surface area

Answer Key - Grade 6 Math Worksheet - Challenge Me

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

1. 1.

   Noah's paper tent is a triangular prism 5 cm long. Its ends are right triangles with sides of 6 cm, 8 cm and 10 cm. What is its surface area in square cm?

   168

2. Read this first

   Net of the prism on a grid, each square 1 cm by 1 cm

   a row of three rectangles (10 by 5, 10 by 12 and 10 by 13), a right triangle with sides 5, 12 and 13 joined above the first rectangle, and another joined below the third.

3. 2.

   Pia's doorstop is a triangular prism 10 cm long. Its ends are right triangles with sides of 5 cm, 12 cm and 13 cm. What is its surface area in square cm?

   360
4. 3.

   Ren's cheese wedge is a triangular prism 12 cm long. Its ends are right triangles with sides of 3 cm, 4 cm and 5 cm. What is its surface area in square cm?

   156
5. 4.

   Tala's roof model is a square pyramid, base 14 cm by 14 cm. Each of its 4 triangle faces has base 14 cm and height 9 cm. What is its surface area in square cm?

   448
6. 5.

   Zee's volcano model is a square pyramid, base 18 cm by 18 cm. Each of its 4 triangle faces has base 18 cm and height 10 cm. What is its surface area in square cm?

   684
7. 6.

   Ari's cat toy is a square pyramid, base 20 cm by 20 cm. Each of its 4 triangle faces has base 20 cm and height 15 cm. What is its surface area in square cm?

   1000

8. Use this

   Net of the box on a grid, each square 1 cm by 1 cm: a row of four rectangles (15 by 6, 10 by 6, 15 by 6 and 10 by 6) with a rectangle 15 by 10 joined above the first and another joined below it.

9. 7.

   Bo's lunch box is 15 cm long, 10 cm wide and 6 cm tall. What is its surface area in square cm?

   600
10. 8.

    Jun's crayon box is 20 cm long, 12 cm wide and 8 cm tall. All the colors are inside. What is its surface area in square cm?

    992

11. Use this

    Four nets, A to D, drawn on a grid with squares 1 cm by 1 cm, as described in the answer choices.

12. 9.

    Kira has four nets on the table. The pencil lines are very neat. Which of these nets folds into a square pyramid?

    • a square with 1 triangle joined to each of its 4 sides
    • a row of 5 triangles
    • a square with triangles joined to only 3 of its sides, leaving the fourth side bare
    • a cross of 5 squares
13. 10.

    Luz folds paper models in art class. The glue sticks to everything. Which of these nets folds into a triangular prism?

    • a row of 3 rectangles, with 1 triangle joined above the first rectangle and 1 triangle joined below the third rectangle
    • a row of 3 rectangles, with 2 triangles both joined above the row, over the 1st and the 3rd rectangles
    • a row of 4 rectangles, with 1 triangle joined above the 1st rectangle and 1 triangle joined below the 4th rectangle, at opposite ends
    • a row of 3 rectangles, with 1 triangle joined above the middle rectangle