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9 grade maths

Write the cube of all natural numbers between 1 and 20 and verify the following statement. If the statement is true then the answer is 1 else it is 0.

  • 1 cubed is 1
  • 2 cubed is 8
  • 3 cubed is 27
  • 4 cubed is 64
  • 5 cubed is 125
  • 6 cubed is 216
  • 7 cubed is 343
  • 8 cubed is 512
  • 9 cubed is 729
  • 10 cubed is 1000
  • 11 cubed is 1331
  • 12 cubed is 1728
  • 13 cubed is 2197
  • 14 cubed is 2744
  • 15 cubed is 3375
  • 16 cubed is 4096
  • 17 cubed is 4913
  • 18 cubed is 5832
  • 19 cubed is 6859
  • 20 cubed is 8000

Statement: Cubes of all even natural numbers are even.

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11 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer11 Months ago

The cubes of natural numbers from 1 to 20 are as follows:

Cubes of Natural Numbers

  • 1 cubed is 1
  • 2 cubed is 8
  • 3 cubed is 27
  • 4 cubed is 64
  • 5 cubed is 125
  • 6 cubed is 216
  • 7 cubed is 343
  • 8 cubed is 512
  • 9 cubed is 729
  • 10 cubed is 1000
  • 11 cubed is 1331
  • 12 cubed is 1728
  • 13 cubed is 2197
  • 14 cubed is 2744
  • 15 cubed is 3375
  • 16 cubed is 4096
  • 17 cubed is 4913
  • 18 cubed is 5832
  • 19 cubed is 6859
  • 20 cubed is 8000

Verification of the Statement

The statement to verify is: "Cubes of all even natural numbers are even."

Let's analyze the cubes of the even numbers:

  • 2 cubed (8) is even
  • 4 cubed (64) is even
  • 6 cubed (216) is even
  • 8 cubed (512) is even
  • 10 cubed (1000) is even
  • 12 cubed (1728) is even
  • 14 cubed (2744) is even
  • 16 cubed (4096) is even
  • 18 cubed (5832) is even
  • 20 cubed (8000) is even

All cubes of the even natural numbers listed are indeed even. Therefore, the statement is true.

Final Answer

Since the statement is true, the answer is 1.