Paper Pyramid Scale and Volume Learning Activity
Explore the world of scale and volume by creating paper pyramids. Understand the concepts of scale with different-sized pyramids and calculate their volumes. Ensure safety and supervision during the activity. Follow step-by-step instructions to cut, fold, and assemble the pyramid nets. Calculate the volumes of large and small pyramids and analyze how scale affects volume. Engage in this educational hands-on experience with equipment like scissors, rulers, glue sticks, and calculators, enhancing your understanding of geometric concepts.
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Presentation Transcript
Make a Pyramid Learning about scale and volume using pyramids made from paper
Stay safe Whether you are a scientist researching a new medicine or an engineer solving climate change, safety always comes first. An adult must always be around and supervising when doing this activity. You are responsible for: ensuring that any equipment used for this activity is in good working condition behaving sensibly and following any safety instructions so as not to hurt or injure yourself or others Please note that in the absence of any negligence or other breach of duty by us, this activity is carried out at your own risk. It is important to take extra care at the stages marked with this symbol:
Equipment and Resources You will need: the making pyramids activity sheet Scissors Rulers Glue sticks Calculators
Pyramid Dimensions in mm Scale is the proportional difference between two things 35 70 For the triangles: the big one is at a scale of 70:35 = 2:1 the little one is at a scale of 35:70 = 1:2 80 40 40 80
Step 1 - Pyramid Nets Carefully cut out the pyramid nets Score and fold on the dotted lines
Step 2 Assembling the Pyramids Glue the tabs Join the sides together Make your pyramids
Volume Calculate the volume of the large pyramid: Volume of a pyramid (mm) = 1/3 x length (l) x width (w) x height (h) Volume of large pyramid = 80 x 80 x 70 = 149333.3 mm3 3 Volume of small pyramid = 40 x 40 x 35 = 18666.6 mm3 3
How Scale Affects Volume The large pyramid is at a scale of 2:1 to the small pyramids How many small pyramids fit inside the larger pyramid? What about the gaps?
Calculating How Scale Affects Volume Calculate how many small pyramids will fit into the large pyramid Large pyramid volume = 149333.3 mm3 149333.3 mm3 = 8 18666.6 mm3 Small pyramid volume = 18666.6 mm3 8 small pyramids will fit into the large pyramid
