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IM 8.8.12 Practice: Edge Lengths and Volumes

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

What is the volume of a cube with a side length of feet?

What is the volume of a cube with a side length of units?

What is the side length of a cube with a volume of 1,000 cubic centimeters?

What is the side length of a cube with a volume of  cubic units?

Write an equivalent expression that doesn’t use a cube root symbol.

Find the distance between each pair of points. If you get stuck, use the applet below.

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Here is a 15-by-8 rectangle divided into triangles. Is the shaded triangle a right triangle? Explain or show your reasoning.

Here is an equilateral triangle. The length of each side is 2 units. A height is drawn. In an equilateral triangle, the height divides the opposite side into two pieces of equal length.