SSAT Math Question 301: Answer and Explanation
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Question: 301
5. A little cube has a side length of 3 centimeters. How many little cubes would be needed to make a big cube with a base perimeter of 36 centimeters?
- A. 6
- B. 9
- C. 27
- D. 36
Correct Answer: C
Explanation:
The answer is C
To determine how many small cubes fit into a larger cube, divide the volumes of the cubes. As the smaller cube has side length of 3, its volume is 33 or 27. As the larger cube has a base perimeter of 36, it has side lengths of or 9, and a volume of 93 or 729. Divide 729 by 27: 27.
If you are able to sketch out the scenario, you can easily count the number of little cubes.