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

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Last updated over 2 years ago
18 Questions
1
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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