Podcast
Questions and Answers
A rectangular prism and a pyramid have the same base area and height. If the volume of the prism is 60 cubic cm, what is the volume of the pyramid?
A rectangular prism and a pyramid have the same base area and height. If the volume of the prism is 60 cubic cm, what is the volume of the pyramid?
- 30 cubic cm
- 20 cubic cm (correct)
- 60 cubic cm
- 180 cubic cm
A cone and a cylinder have the same radius. However, the cylinder's height is twice that of the cone. What is the ratio of the volume of the cone to the volume of the cylinder?
A cone and a cylinder have the same radius. However, the cylinder's height is twice that of the cone. What is the ratio of the volume of the cone to the volume of the cylinder?
- 1:3
- 1:6 (correct)
- 3:2
- 2:3
If a sphere fits perfectly inside a cylinder such that the sphere touches the top, bottom, and sides of the cylinder. What is the ratio of the volume of the sphere to the volume of the cylinder?
If a sphere fits perfectly inside a cylinder such that the sphere touches the top, bottom, and sides of the cylinder. What is the ratio of the volume of the sphere to the volume of the cylinder?
- 2:3 (correct)
- 3:4
- 1:2
- 4:3
A cylindrical water tank has a diameter of 10 meters and a height of 8 meters. How many cubic meters of water can it hold?
A cylindrical water tank has a diameter of 10 meters and a height of 8 meters. How many cubic meters of water can it hold?
The Great Pyramid of Giza has a square base with sides of approximately 230 meters and a height of 147 meters. What is its approximate volume?
The Great Pyramid of Giza has a square base with sides of approximately 230 meters and a height of 147 meters. What is its approximate volume?
A water meter reads 12345 kWh in January and 12456 kWh in February. If the cost of water is $0.05 per kWh, what is the water bill for February?
A water meter reads 12345 kWh in January and 12456 kWh in February. If the cost of water is $0.05 per kWh, what is the water bill for February?
A family's electric meter reading was 2500 kWh last month and is 2750 kWh this month. If electricity costs $0.12 per kWh and there is a fixed charge of $15, what is the total bill?
A family's electric meter reading was 2500 kWh last month and is 2750 kWh this month. If electricity costs $0.12 per kWh and there is a fixed charge of $15, what is the total bill?
A survey shows that 50% of students prefer pizza, 30% prefer burgers, and 20% prefer tacos. In a pie chart representing this data, what is the angle of the sector representing students who prefer burgers?
A survey shows that 50% of students prefer pizza, 30% prefer burgers, and 20% prefer tacos. In a pie chart representing this data, what is the angle of the sector representing students who prefer burgers?
A pie chart represents the monthly expenses of a household. If the sector representing rent is 150 degrees, what percentage of the total monthly expenses is spent on rent?
A pie chart represents the monthly expenses of a household. If the sector representing rent is 150 degrees, what percentage of the total monthly expenses is spent on rent?
What does probability measure?
What does probability measure?
Flashcards
What is a Cylinder?
What is a Cylinder?
A 3D shape with two parallel circular bases connected by a curved surface.
What is a Cone?
What is a Cone?
A 3D shape with a circular base and a single vertex.
What is a Sphere?
What is a Sphere?
A perfectly round 3D object where every point on the surface is equidistant from the center.
What is a Pyramid?
What is a Pyramid?
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What is Volume?
What is Volume?
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What is a Rectangular Prism?
What is a Rectangular Prism?
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What is a Pie Graph?
What is a Pie Graph?
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What is Probability?
What is Probability?
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Study Notes
- Explores volume relationships between rectangular prisms/pyramids, cylinders/cones, and cylinders/spheres.
- Focuses on calculating volumes for cylinders, pyramids, cones, and spheres.
- Applies volume knowledge to solve both standard and complex problems.
- Teaches how to read and understand electric and water meter readings.
- Uses meter reading skills to solve practical consumption problems.
- Explains how to create and interpret pie graphs from data sets.
- Defines the concept of probability.
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