Fish Tanks
Learning Intentions and Success Criteria
We are learning to:
- Create volume formulas of 3D shapes from prior knowledge of 2D shapes
- Apply the volume formulas of 3D shapes in real-world problems
Geometry Standards
- HSG-GMD: Explain volume formulas and use them to solve problems
- HSN-Q.A: Reason quantitatively and use units to solve problems
For question 1. & 2.
1.
Mr. Gillooley has a rectangular prism fish tank full of water with expensive fish. He bought a bigger and fancier cylinder fish tank. He pours all the water into the cylinder fish tank, but it does not fill up to the top. How high is the water in the cylinder fish tank?
2.
How much more water does Mr. Gillooley need to fill up his new cylinder fish tank?
For question 3.
3.
Mr. Gillooley donates his expensive fish to an aquarium. The aquarium puts the fish into a cone fish tank attached to the ceiling. This cone fish tank has the same volume as the cylinder fish tank. What is the radius of the cone fish tank?