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

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Last updated almost 3 years ago
18 Questions
1.

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

4 centimeters?

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2.

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

\sqrt[3]{11} Feet.

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3.

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

s units?

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4.

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

1,000 cubic centimeters?

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5.

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

23 cubic inches?

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6.

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

v cubic units?

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7.

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

\sqrt[3]{1}

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8.

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

\sqrt[3]{216}

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9.

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

\sqrt[3]{8000}

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10.

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

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

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11.

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

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

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12.

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

\sqrt[3]{0.027}

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13.

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

\sqrt[3]{0.000125}

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14.

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)

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15.

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)

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16.

Here is a 15-by-8 rectangle divided into triangles.
Is the shaded triangle a right triangle?

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17.

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.

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18.

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.

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