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IM Alg2.3.2 Lesson: Square Roots and Cube Roots

Find the area of square ABCD.

Complete the table with the area of each square in square units, and its exact side length in units.

This table includes areas in square units and side lengths in units of some more squares. Complete the table.

In the first question, all of the squares have vertices at grid points.

Is there a square whose vertices are at grid points and whose area is 7 square units? Explain how you know.

Is there a square whose vertices are at grid points and whose area is 10 square units? Explain how you know.

A cube has edge length 3 units. What is the volume of the cube?

A cube has edge length 4 units. What is the volume of the cube?

A cube has volume 8 units. What is the edge length of the cube?

A cube has volume 7 units. What is the edge length of the cube?

is between 10 and 11 because  and .

Drag the cube roots to the whole numbers they lie between.