Shipping Carton Layer Volume Worksheet gives learners a diagram, one worked example and five questions. The student sheet leaves space to show work. A second printable page gives the steps for each answer.
Start with the model
Volume counts cubic units. Multiply the area of the rectangular base by the prism height.
The rectangular prism measures 12 cm long, 8 cm wide and 5 cm high.
Worked example
One layer that is 1 cm thick has base area 12 × 8 = 96 cm² and volume 96 cm³.
Ask the learner to point to the information used in the example. When they move on to the exercises, have them record the quantity, unit or label that each step represents.
Practice questions
- Find the volume of the full prism.
- Find the volume up to a height of 3 cm.
- How much volume is lost if a 2 cm layer is removed from the top?
- A second prism has the same base and volume 576 cm³. Find its height.
- If you double the base width and halve the height, does the volume change?
Separate answer key
- 96 × 5 = 480 cm³.
- 96 × 3 = 288 cm³.
- 96 × 2 = 192 cm³.
- 576 ÷ 96 = 6 cm.
- No. The factors 2 and 1/2 cancel. The volume remains 480 cm³.
Download the student sheet and key
Each page has its own Download image and Download PDF controls. Choose US Letter or A4 for the PDF. Match the paper size in the print dialog and check the page edges before printing. The original PNGs are 2550 × 3300 pixels at 300 dpi. The pages are free for personal and classroom use.