Day at Beach Task Assessment
Geometry Standards
HSG-GMD: Explain volume formulas and use them to solve problems
HSN-Q.A: Reason quantitatively and use units to solve problems
Approximately symbol ≈
You are at the beach with your friends. You have brought some supplies to make sand castles. These supplies include a pail that has a base with a circumference of 6 inches, is 10 inches tall, and has an opening on the top that is twice the diameter of the base. You also have a plastic pyramid mold that has a square base with a side that measures 4 inches and is 5 inches tall, and an empty soup can with a diameter of 3.25 inches and is 4.5 inches tall.
For each problem, include correct units of measurement and round your answers to the nearest whole number or in terms of π.
1) Sketch and label diagrams that represent the soup can and pyramid.
1) Calculate how much sand you can fit into each object. Show your calculations.
2) Sketch and label diagrams that could represent the pail.
2) Calculate how much sand you can fit in the pail. Show your calculations.
3) Which object will fill the pail faster, the pyramid or the soup can? Justify your answer and include your thinking.
4) Your friends are bored with making sand castles and decided to play with a beach ball they found in the car. The package says the beach ball has a diameter of 20 inches. While playing with the beach ball, the plug comes loose and the beach ball deflates by one quarter. How much air is left in the beach ball?