Unit 1- Estimating Large Numbers

Front

What is the formula for the volume of a cylinder?

Back

Front

What is the formula for the volume of a rectangular prism?

Back

Front

If a cube with a side length of 3 cm holds 50 marbles, how many marbles can fit in a cube with a side length of 6 cm?

Back

The volume of the larger cube is 6^3 = 216 cm³. Since the smaller cube holds 50 marbles in 27 cm³, the larger cube can hold approximately 400 marbles.

Front

Estimate how many marbles can fit in a cylindrical container with a radius of 4 cm and a height of 8 cm, given that a cylinder with a radius of 3 cm and height of 10 cm holds 50 marbles.

Back

Front

What is the relationship between the volume of a cube and the number of marbles it can hold?

Back

The volume of a cube is directly proportional to the number of marbles it can hold, assuming the marbles are of uniform size.

Front

If a rectangular prism has dimensions 6 cm by 7 cm by 9 cm, what is its volume?

Back

Front

How do you estimate the number of marbles that can fit in a new shape based on empirical data?

Back

You can use the volume of the new shape and the known volume of a shape that holds a certain number of marbles to estimate how many marbles can fit.

Front

What is the volume of a cube with a side length of 4 cm?

Back

Front

If a rectangular prism with dimensions 4 cm by 5 cm by 6 cm holds 120 marbles, how many marbles can fit in a prism with dimensions 8 cm by 10 cm by 12 cm?

Back

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 10 cm?

Back