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. 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. 2.

   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. 3.

   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. 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.

   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. 6.

   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. 7.

   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
9. 8.

   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
10. 9.

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