1. CBQ - Perfect cubes I

Ravi is designing a set of wooden cube-shaped blocks for a construction toy. Each block is made by stacking smaller identical wooden cubes. He wants to create blocks of different volumes while ensuring that each block still remains a perfect cube.

 

1. Ravi receives a shipment containing blocks of volumes: 729 \(cm³\), 1331 \(cm³\), 1728 \(cm³\), 2100 \(cm³\), and 3375 \(cm³\). Pick out the non-perfect cube.

 

2. The cube of a number ending in 4 will have a units digit:

 

3. Which of the following cubes has a side length 12 \(cm\)?

 

4. A block has volume 2744 \(cm³\). What is the side length?