The Ramaswamy family stacks sugar cubes in growing cube layers for a festival display. The total cubes after k layers equals the sum of the first k cubes. After how many layers does the total first exceed 200 cubes? (Recall 1^3+...+5^3 = 225.)

Question

Accepted Answer

5. Sum after 4 layers = 100; after 5 layers = 225 (> 200). So it first exceeds 200 at layer 5.

The Ramaswamy family stacks sugar cubes in growing cube layers for a festival display. The total cubes after k layers equals the sum of the first k cubes.
After how many layers does the total first exceed 200 cubes? (Recall $1^{3} + ... + 5^{3} = 225.$ )

Step-by-Step Solution

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More Class 8 Patterns in Cubes practice

The Ramaswamy family stacks sugar cubes in growing cube layers for a festival display. The total cubes after k layers equals the sum of the first k cubes.After how many layers does the total first exceed 200 cubes? (Recall 13+...+53=225.)

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 8 Patterns in Cubes practice

The Ramaswamy family stacks sugar cubes in growing cube layers for a festival display. The total cubes after k layers equals the sum of the first k cubes.
After how many layers does the total first exceed 200 cubes? (Recall $1^{3} + ... + 5^{3} = 225.$ )