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7th grade What shape is the slice? worksheet

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What shape is the slice?

Grade 7 Math Worksheet

NameDate

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

  1. Ren imagines one flat cut through a big ice cube, parallel to one face. What shape is the slice?

    • Square
    • Triangle
    • Trapezoid

  2. Tala imagines one flat cut straight down through a gift box, along the diagonal of the top. What shape is the slice?

    • Triangle
    • Trapezoid
    • Rectangle

  3. Read this first

    Labeled sketch, not to scale

    a box 24 cm long, 16 cm wide and 12 cm tall with one corner cut off by a flat cut.

  4. Ari imagines slicing one corner off a moving box with a single flat cut. What shape is the slice?

    • Triangle
    • Trapezoid
    • Rectangle

  5. Bo imagines slicing one corner off a gift box with a single flat cut. What shape is the slice?

    • Triangle
    • Rectangle
    • Trapezoid

  6. Labeled sketch, not to scale

    a pyramid whose base is 9 cm by 9 cm, 12 cm tall; the top point is above the middle of the base. The shaded cut goes straight down through the top point.

  7. Luz imagines one flat cut straight down through the top point of a toy tower's roof. What shape is the slice?

    • Rectangle
    • Trapezoid
    • Triangle

  8. Labeled sketch, not to scale

    a pyramid whose base is 16 cm by 9 cm, 12 cm tall; the top point is above the middle of the base. The shaded cut goes straight down, parallel to a base side of 16 cm and 2 cm in from that side.

  9. Noah imagines one flat cut straight down through a tower roof, near one edge of its base. What shape is the slice?

    • Rectangle
    • Triangle
    • Trapezoid

  10. Labeled sketch, not to scale

    a pyramid whose base is 12 cm by 12 cm, 15 cm tall; the top point is above the middle of the base. The shaded cut goes straight down, parallel to a base side of 12 cm and 3 cm in from that side.

  11. Pia imagines one flat cut straight down through a toy tower's roof, near one edge of its base. What shape is the slice?

    • Rectangle
    • Trapezoid
    • Triangle

  12. Labeled sketch, not to scale

    a pyramid whose base is 11 cm by 8 cm, 9 cm tall; the top point is above the middle of the base. The shaded cut goes straight down, parallel to a base side of 11 cm and 2 cm in from that side.

  13. Ren imagines one flat cut straight down through a toy tower's roof, near one edge of its base. What shape is the slice?

    • Trapezoid
    • Rectangle
    • Triangle

  14. Tala has a gift box 13 cm long, 9 cm wide and 6 cm tall. A flat cut is parallel to the top. What is the area of the slice, in square centimeters?

  15. Zee has a moving box 18 cm long, 12 cm wide and 9 cm tall. A flat cut is parallel to the front. What is the area of the slice, in square centimeters?

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7th grade What shape is the slice? worksheet – printable
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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.

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