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Which two numbers, when added together, make a cube number?

A 3 and 22
B 14 and 16
C 26 and 38
D 27 and 54​

User Alex Naspo
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2 Answers

6 votes
Answer is C) 26 and 38
= 64, and 4x4x4 = 64 so it’s a perfect cube

Step by step

❌ A) 3 and 22 = 25, no perfect cube
❌ B) 14 and 16 = 30, no perfect cube
✅ C) 26 and 38 = 64 (4x4x4 = 64)so perfect!
❌ D) 27 and 54 = 81, no perfect cube
User Mkus
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4 votes
The two numbers that, when added together, make a cube number are D. 27 and 54.

To see this, we can find the cube root of each of the numbers in the options and see which ones add up to a whole number. The cube root of 3 is slightly less than 1, the cube root of 22 is slightly more than 4, the cube root of 14 is slightly less than 3, the cube root of 16 is slightly less than 4, the cube root of 26 is slightly less than 4, the cube root of 38 is slightly more than 4, the cube root of 27 is 3, and the cube root of 54 is slightly more than 5. Only the cube roots of 27 and 54 are whole numbers, so the correct answer is D. 27 and 54
User Wudong
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