Open Up - Grade 8 - Mathematics - Unit 8 - Lesson 12

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

\sqrt[3]{11} Feet.

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

s 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

23 cubic inches?

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

v cubic units?

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

\sqrt[3]{1}

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

\sqrt[3]{216}

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

\sqrt[3]{8000}

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

\sqrt[3]{\frac{1}{64}}

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

\sqrt[3]{\frac{27}{125}}

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

\sqrt[3]{0.027}

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

\sqrt[3]{0.000125}

Find the distance between each pair of points. If you get stuck, try plotting the points on graph paper.

X=(5,0) and Y=(-4,0)

Find the distance between each pair of points. If you get stuck, try plotting the points on graph paper.

K=(-21,-29) and L=(0,0)

Here is a 15-by-8 rectangle divided into triangles.

Is the shaded triangle a right triangle?

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.

Find the exact height.

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.

Find the area of the equilateral triangle.