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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 - Challenge Me

NameDate

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

  1. a box with one flat cut. The shaded slice meets only the faces listed in the question. Esme imagines one flat cut through a box. It crosses these faces: top, front and left. What shape is the slice?

    • Quadrilateral
    • Triangle
    • Hexagon

  2. Read this first

    Use this

    Three cuts are described in the choices. No picture is drawn.

  3. Noah wants a slice shaped like a triangle from a box. Which cut works?

    • A cut that slices off one corner
    • A cut straight down along the diagonal of the top
    • A cut parallel to the top

  4. Pia wants a slice shaped like a triangle from a toy tower's roof (a pyramid). Which cut works?

    • A cut parallel to the base
    • A cut straight down, parallel to a base side, that misses the top point
    • A cut straight down through the top point

  5. Ren wants a slice shaped like a trapezoid from a toy tower's roof (a pyramid). Which cut works?

    • A cut straight down, parallel to a base side, that misses the top point
    • A cut parallel to the base
    • A cut straight down through the top point

  6. Tala wants a slice shaped like a rectangle from a gift box. Which cut works?

    • A cut parallel to the front
    • A cut that crosses all six faces
    • A cut that slices off one corner

  7. Zee wants a slice shaped like a rectangle from a tower roof (a pyramid). Which cut works?

    • A cut parallel to the base
    • A cut straight down through the top point
    • A cut straight down, parallel to a base side, that misses the top point

  8. Esme has a moving box 21 cm long, 16 cm wide and 12 cm tall. A flat cut is parallel to the front. What is the distance around the slice, in centimeters?

  9. Jun has a stack of books 22 cm long, 15 cm wide and 9 cm tall. A flat cut is parallel to the end. What is the distance around the slice, in centimeters?

  10. Kira imagines two flat cuts through a box, both parallel to the base: one low, one high. How do the two slices compare?

    • The higher slice is bigger
    • The higher slice is smaller
    • The two slices are the same size

  11. Milo imagines two flat cuts through a gift box, both parallel to the top: one near the middle, one near the top. How do the two slices compare?

    • The two slices are the same size
    • The higher slice is smaller
    • The higher slice is bigger
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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

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