IM 6.1.17 Lesson: Squares and Cubes
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[/img][br]The number 9 is a perfect [b]square[/b]. 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 [b]cube[/b]. Find four other numbers that are perfect cubes and two numbers that are [i]not[/i] perfect cubes.[br][img]data:image/png;base64,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[/img]
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 [b]exponent[/b] to express its area.
The area of a square is [math]7^2[/math] sq in. What is its side length?
The area of a square is 81 m[math]^2[/math]. 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[math]^3[/math]. What is its edge length?
A cube has edge length [math]s[/math] 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 [math]125^2[/math]. It is also a perfect cube because it equals [math]25^3[/math]. Find another number that is both a perfect square and a perfect cube. How many of these can you find?
IM 6.1.17 Practice: Squares and Cubes
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[/img][br][br]What is the volume of this cube?[br]
Decide if each number on the list is a perfect square.
Write a sentence that explains your reasoning.
Decide if each number on the list is a perfect cube.
Explain what a perfect cube is.
A square has side length 4 cm. What is its area?
The area of a square is 49 m[math]^2[/math]. What is its side length?
A cube has edge length 3 in. What is its volume?
Prism A and Prism B are rectangular prisms.[list][*]Prism A is 3 inches by 2 inches by 1 inch.[/*][*]Prism B is 1 inch by 1 inch by 6 inches.[/*][/list][br]Select [b]all [/b]statements that are true about the two prisms.
What polyhedron can be assembled from this net?[br][br][img]data:image/png;base64,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[/img]