3D Cross Sections Worksheets Grade 6

Geometry

Identify Cross-Sections

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

5 problems
  1. Liam slices a cylinder with a radius of 15 cm and a height of 40 cm. He makes a vertical cut straight down through the center of the circular base. What is the area of the rectangular cross section?
  2. Liam is designing a new community garden shed shaped like a rectangular prism. The shed measures 4.2 meters long, 3.6 meters wide, and 2.8 meters tall. If Liam draws a horizontal cross-section of the shed at a height of 1.5 meters above the ground, what will be the area of this cross-section in square meters?
  3. Liam is building a rectangular prism-shaped planter box for his garden. The box is 2.4 meters long, 1.5 meters wide, and 0.8 meters high. If Liam makes a vertical cut parallel to the end face of the box, what is the area, in square meters, of the cross-sectional rectangle he creates?

…and 2 more problems

Open & Print Worksheet 1

Worksheet 2

5 problems
  1. A rectangular prism-shaped shipping container has dimensions of 15 meters by 8 meters by 6 meters. If you make a horizontal cut parallel to the base at a height of 4 meters from the bottom, what is the area of the rectangular cross-section created by this cut?
  2. Emma slices a rectangular prism that has a length of 20 cm, a width of 15 cm, and a height of 10 cm. She makes a horizontal cut halfway up the height. What is the area of the resulting cross section in square centimeters?
  3. Noah is designing a new community center shaped like a rectangular prism. The building will be 48 meters long, 32 meters wide, and 24 meters tall. If the architect draws a horizontal cross-section of the building at a height of 18 meters above the ground, what will be the area of this cross-section in square meters?

…and 2 more problems

Open & Print Worksheet 2

Worksheet 3

5 problems
  1. A rectangular prism has a length of 15 cm, a width of 9 cm, and a height of 21 cm. It is sliced horizontally at a height of 7 cm from the base. What is the area of the resulting cross section?
  2. Emma slices a rectangular prism that is 20 cm long, 15 cm wide, and 10 cm high with a horizontal cut halfway up its height. What is the area of the cross section?
  3. (-15) + 28 - (-7) = ?

…and 2 more problems

Open & Print Worksheet 3

Prefer interactive practice with instant feedback and progress tracking? Try LessonBunny free — 10 problems, no signup required.