A cube with side length \( b \) has a volume of 64 cubic centimeters. The following equation shows the volume of the square. \[ b^{3}=64 \] What is the side length of the cube in centimeters? A 4 B 16 C 12 2

To find the side length \( b \) of the cube, you can solve the equation \( b^3 = 64 \). Taking the cube root of both sides gives you \( b = \sqrt[3]{64} \). Since \( 64 = 4^3 \), we find that \( b = 4 \) centimeters. So, the correct answer is A, 4. Now, if you ever find yourself stuck on a problem like this, remember that cube roots can often be simplified by expressing the number as a power of something you know. In this case, knowing that \( 4^3 = 64 \) helped you solve it quickly! Cubing has a fascinating history! Ancient Egyptians knew how to handle volumes, and by around 300 BC, mathematicians like Euclid were exploring the properties of cubes geometrically. Fast forward to today, and we use this knowledge in various fields like architecture and design to create spaces that are both functional and beautiful!