Unit 1- Estimating Large Numbers

Front

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

Back

Front

How do you estimate the volume of a shape based on empirical data?

Back

To estimate the volume of a shape based on empirical data, you can use the known volume of a similar shape to find a proportional relationship.

Front

What is the formula for the volume of a cylinder?

Back

Front

What is the formula for the volume of a sphere?

Back

Front

If a cube with a side length of 3 cm holds 50 marbles, how many marbles can fit in a rectangular prism with dimensions 6 cm by 7 cm by 9 cm?

Back

700 marbles.

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 rectangular prism with dimensions 8 cm by 10 cm by 12 cm?

Back

960 marbles.

Front

If a cylindrical container with a radius of 3 cm and a height of 10 cm holds 50 marbles, how many marbles can fit in a cylindrical container with a radius of 4 cm and a height of 8 cm?

Back

71 marbles.

Front

If a cube with a side length of 4 cm holds 100 marbles, how many marbles can fit in a rectangular prism with dimensions 5 cm by 6 cm by 8 cm?

Back

375 marbles.

Front

What is the relationship between the dimensions of a shape and its volume?

Back

The volume of a shape is directly proportional to its dimensions; increasing any dimension will increase the volume.

Front

How can you use the volume of one shape to estimate the volume of another?

Back

You can use the ratio of the volumes of similar shapes to estimate the volume of an unknown shape.