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. 1.

   a box with one flat cut. The shaded slice meets only the faces listed in the question. 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
2. 2.

   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
   • Pentagon
   • Quadrilateral

3. Read this first

   Use this

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

4. 3.

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

   • A cut parallel to the top
   • A cut straight down along the diagonal of the top
   • A cut that slices off one corner
5. 4.

   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. 5.

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

   • A cut straight down through the top point
   • A cut parallel to the base
   • A cut straight down, parallel to a base side, that misses the top point
7. 6.

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

   • A cut that slices off one corner
   • A cut parallel to one face
   • A cut straight down along the diagonal of the top
8. 7.

   Bo has a gift box 14 cm long, 9 cm wide and 6 cm tall. A flat cut is parallel to the top. What is the distance around the slice, in centimeters?

   46
9. 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
10. 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
11. 10.

    Noah imagines two flat cuts through a toy tower's roof, both parallel to the base: 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 bigger
    • The higher slice is smaller