What shape is the slice?

Answer Key - Grade 7 Math Worksheet - Challenge Me

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

1. Read this first

   Labeled sketch, not to scale

   a box with one flat cut. The shaded slice meets only the faces listed in the question.

2. 1.

   Esme imagines one flat cut through a box. It crosses these faces: top, front and left. What shape is the slice?

   • Triangle
   • Quadrilateral
   • Hexagon
3. 2.

   Jun imagines one flat cut through a gift box. It crosses these faces: front, back, left and right. What shape is the slice?

   • Quadrilateral
   • Hexagon
   • Triangle
4. 3.

   a cube with one flat cut. The shaded slice meets only the faces listed in the question. Luz imagines one flat cut through a big ice cube. It crosses these faces: top, bottom, front, back, left and right. What shape is the slice?

   • Hexagon
   • Quadrilateral
   • Pentagon

5. Use this

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

6. 4.

   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
7. 5.

   Pia wants a slice shaped like a triangle 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 straight down through the top point
   • A cut parallel to the base
8. 6.

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

   • A cut straight down through the top point
   • A cut straight down, parallel to a base side, that misses the top point
   • A cut parallel to the base
9. 7.

   Ari wants a slice shaped like a square from an ice cube. Which cut works?

   • A cut straight down along the diagonal of the top
   • A cut parallel to one face
   • A cut that slices off one corner
10. 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?

    66
11. 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?

    48
12. 10.

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