Grade 6 · Math

6th grade Nets and surface area worksheet

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version

Nets and surface area

Grade 6 Math Worksheet - Challenge Me

NameDate

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

Milo's wooden wedge is a triangular prism 8 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?
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.
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?
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?
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?
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?
Use this
Net of the box on a grid, each square 1 in by 1 in: a row of four rectangles (12 by 7, 9 by 7, 12 by 7 and 9 by 7) with a rectangle 12 by 9 joined above the first and another joined below it.
Esme's storage box is 12 in long, 9 in wide and 7 in tall. What is its surface area in square in?
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?
Use this
Four nets, A to D, drawn on a grid with squares 1 cm by 1 cm, as described in the answer choices.
8.
Kira has four nets on the table. The pencil lines are very neat. Which of these nets folds into a square pyramid?
- a cross of 5 squares
- a square with 1 triangle joined to each of its 4 sides
- a square with triangles joined to only 3 of its sides, leaving the fourth side bare
- a row of 5 triangles
9.
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 1 triangle joined above the middle rectangle
- 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 2 triangles both joined above the row, over the 1st and the 3rd rectangles
10.
Noah is making a gift box. The ribbon is ready. Which of these nets folds into a cube?
- a straight row of 6 squares
- a row of 3 squares, with 2 squares side by side above it (one over the 1st square and one to the left of that) and 1 square below the 1st square
- a row of 4 squares with 2 squares below it, under the 1st and the 4th squares
- a 2 by 2 block of squares with 1 square to the left of it and 1 square to the right of it

6th grade Nets and surface area worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Nets and surface area. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can tell which net folds into a cube, a square pyramid or a triangular prism.
I can add the areas of every face of a net to find the surface area.
I can tell surface area (the paper outside) from volume (the space inside).

Standard: 6.G.A.4

Words to know

net: A flat pattern that folds up into a solid with no gaps or overlaps.

face: One flat side of a solid. A cube has 6.

surface area: The total area of all the faces: the paper needed to cover the outside.

prism: A solid with two matching ends and rectangle sides.

pyramid: A solid with one flat base and triangle faces that meet at a point.

square pyramid: A pyramid whose base is a square, with 4 triangle faces.

volume: How much space is inside a solid. Not the same as surface area.

Common mistakes

Your child left a face out when adding up the surface area. Cut open a cereal box together, lay it flat, and count and label every face before adding.

Your child found the space inside (the volume) instead of the area of the outside.

Your child counted a face twice. A box has matching pairs, but a pyramid has only one base.

What to say

Ask: if we wrapped it in paper, how much paper would we need?

Ask: how many faces does this solid have, and which ones match?

Questions parents ask

What is the most common mistake with nets and surface area?

Your child left a face out when adding up the surface area. Cut open a cereal box together, lay it flat, and count and label every face before adding.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

See all grade 6 math

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records