PencilGo

Grade 7 · Math

7th grade What shape is the slice? worksheet

6 printable versionsBuilding Confidence10 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
Print

What shape is the slice?

Grade 7 Math Worksheet - Building Confidence

NameDate

Circle the best answer.

  1. Luz drops an ice cube in a glass. The cube has 6 equal square faces. What solid is it?

    • Cylinder
    • Cube
    • Rectangular pyramid
  2. Noah imagines one flat cut through a gift box, parallel to its front. What shape is the slice?

    • Triangle
    • Rectangle
    • Circle
  3. Pia imagines one flat cut through the stack of books, parallel to the top. What shape is the slice?

    • Rectangle
    • Triangle
    • Circle
  4. Ren imagines one flat cut through an ice cube, parallel to one face. What shape is the slice?

    • Circle
    • Square
    • Triangle
  5. Zee builds a toy tower with a pyramid roof on a square base, then imagines a flat cut through the roof, parallel to its base. What shape is the slice?

    • Square
    • Circle
    • Triangle
  6. Read this first

    Labeled sketch, not to scale

    a box 18 cm long, 12 cm wide and 10 cm tall with one corner cut off. The shaded slice meets the 3 faces that meet at that corner, so its outline has 3 sides.

  7. Ari imagines slicing one corner off a box with a single flat cut. The cut crosses 3 faces. What shape is the slice?

    • Circle
    • Triangle
    • Rectangle
  8. Bo imagines slicing one corner off a gift box with a single flat cut. The cut crosses 3 faces. What shape is the slice?

    • Circle
    • Rectangle
    • Triangle
  9. Labeled sketch, not to scale

    a cube 5 cm on every edge with one corner cut off. The shaded slice meets the 3 faces that meet at that corner, so its outline has 3 sides.

  10. Esme slices one corner off an ice cube (very carefully, it is slippery) with a single flat cut. The cut crosses 3 faces. What shape is the slice?

    • Circle
    • Rectangle
    • Triangle
  11. Jun imagines one flat cut straight down through the top point of a toy tower's roof. The cut crosses 3 faces. What shape is the slice?

    • Circle
    • Rectangle
    • Triangle
  12. Luz imagines one flat cut straight down through the top point of a tower roof. The cut crosses 3 faces. What shape is the slice?

    • Triangle
    • Rectangle
    • Circle
PencilGopencilgo.com

7th grade What shape is the slice? worksheet – printable
Print: 123456

About this worksheet

What shape is the slice?. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can name the shape a flat cut leaves: a rectangle (or square) when the cut is parallel to a face, a triangle when it slices off a corner or passes through a pyramid's top point.
  • I can say a flat cut leaves one side for each face it crosses, and use that to name the shape (3 faces, a triangle; 5 faces, a pentagon).
  • I can tell that slices of a box all match its base, but slices of a pyramid get smaller toward the top, and I can find the area and distance around a slice.

Standard: 7.G.A.3

Words to know

slice (cross-section): The flat shape you see where a flat cut goes through a solid.

rectangular prism: A box with 6 rectangle faces. A cube is a box with all edges equal.

rectangular pyramid: A solid with a rectangle base and 4 triangle faces that meet at a top point.

face: One flat side of a solid.

parallel: Always the same distance apart, like the top and bottom of a box.

top point: The corner where a pyramid's triangle faces meet. It sits above the middle of the base.

trapezoid: A four-sided shape with one pair of parallel sides.

Common mistakes

Your child named the shape of one of the solid's faces instead of the shape the cut leaves. Try it with a block of play dough and a ruler: cut it, then look at the flat cut surface, not the outside faces.

Your child pictured the diagonal line on top and named a triangle.

Your child thought a straight-down cut gives a rectangle.

What to say

Ask: the cut goes straight down the whole box, so what do the sides of the slice look like?

Ask: the sides of a pyramid lean inward, so does the slice have leaning sides too?

Questions parents ask

What is the most common mistake with what shape is the slice??

Your child named the shape of one of the solid's faces instead of the shape the cut leaves. Try it with a block of play dough and a ruler: cut it, then look at the flat cut surface, not the outside faces.

Are these 7th 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 7 math

See all grade 7 math

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