Unit 8, Lesson 12

Edge Lengths, Volumes, and Cube Roots

Accelerated 7

Practice

What is the volume of a cube with an edge length of
1. 4 centimeters?
2. feet?
3. units?
What is the edge length of a cube with a volume of
1. 1,000 cubic centimeters?
2. 23 cubic inches?
3. cubic units?

Find the positive solution to each equation. If the solution is irrational, write the solution using square root or cube root notation.

For each cube root, find the two whole numbers that it lies between.

Order the following values from least to greatest:

Express each of the following as a single power of 10:

Find the value of each variable, in units, to the nearest tenth.

A triangle has a horizontal side labeled "d." The other two sides of the triangle are each labeled 11. A vertical dashed line extends from the vertex above the horizontal side to the horizontal side and is labeled 8. A right angle symbol is indicated between the vertical dashed line and the horizontal side.