IM 6.1.17 Lesson: Squares and Cubes
The number 9 is a perfect square. Find four numbers that are perfect squares and two numbers that are not perfect squares.
A square has side length 7 in. What is its area?
The area of a square is 64 sq cm. What is its side length?
Use the 32 snap cubes in the applet’s hidden stack to build the largest single cube you can. Each small cube has side length of 1 unit.
How many snap cubes did you use?
What is the side length of the cube you built?
What is the area of each face of the built cube? Show your reasoning.
What is the volume of the built cube? Show your reasoning.
This applet has a total of 64 snap cubes. Build the largest single cube you can.
How many snap cubes did you use?
What is the edge length of the new cube you built?
What is the area of each face of the built cube? Show your reasoning.
What is the volume of the built cube? Show your reasoning.
The number 27 is a perfect cube. Find four other numbers that are perfect cubes and two numbers that are not perfect cubes.
A cube has side length 4 cm. What is its volume?
A cube has side length 10 inches. What is its volume?
A cube has side length s units. What is its volume?
Make sure to include correct units of measure as part of each answer.
A square has side length 10 cm. Use an exponent to express its area.
The area of a square is sq in. What is its side length?
The area of a square is 81 m. Use an exponent to express this area.
A cube has edge length 5 in. Use an exponent to express its volume.
The volume of a cube is 63 cm. What is its edge length?
A cube has edge length units. Use an exponent to write an expression for its volume.
The number 15,625 is both a perfect square and a perfect cube. It is a perfect square because it equals . It is also a perfect cube because it equals . Find another number that is both a perfect square and a perfect cube. How many of these can you find?