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Apastamba's Contributions to Mathematics

Description: Apastamba was an ancient Indian mathematician who lived in the 6th century BCE. He is best known for his work on geometry, in which he developed a number of important theorems. This quiz will test your knowledge of Apastamba's contributions to mathematics.
Number of Questions: 15
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Tags: ancient indian mathematics geometry apastamba
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What is the name of the theorem that Apastamba developed to calculate the area of a triangle?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the area of a triangle is equal to half the product of its base and height.

What is the name of the theorem that Apastamba developed to calculate the volume of a pyramid?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the volume of a pyramid is equal to one-third the product of its base area and height.

What is the name of the theorem that Apastamba developed to calculate the circumference of a circle?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the circumference of a circle is equal to three times its diameter.

What is the name of the theorem that Apastamba developed to calculate the area of a circle?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the area of a circle is equal to one-fourth the product of its circumference and diameter.

What is the name of the theorem that Apastamba developed to calculate the volume of a sphere?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the volume of a sphere is equal to one-sixth the product of its surface area and radius.

What is the name of the theorem that Apastamba developed to calculate the surface area of a sphere?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the surface area of a sphere is equal to four times the area of a great circle.

What is the name of the theorem that Apastamba developed to calculate the volume of a cylinder?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the volume of a cylinder is equal to the product of its base area and height.

What is the name of the theorem that Apastamba developed to calculate the surface area of a cylinder?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the surface area of a cylinder is equal to the sum of the areas of its two bases and the area of its lateral surface.

What is the name of the theorem that Apastamba developed to calculate the volume of a cone?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the volume of a cone is equal to one-third the product of its base area and height.

What is the name of the theorem that Apastamba developed to calculate the surface area of a cone?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the surface area of a cone is equal to the sum of the areas of its base and its lateral surface.

What is the name of the theorem that Apastamba developed to calculate the volume of a frustum of a cone?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the volume of a frustum of a cone is equal to the difference between the volumes of two cones with the same height and radii as the bases of the frustum.

What is the name of the theorem that Apastamba developed to calculate the surface area of a frustum of a cone?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the surface area of a frustum of a cone is equal to the sum of the areas of its two bases and the area of its lateral surface.

What is the name of the theorem that Apastamba developed to calculate the volume of a sphere?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the volume of a sphere is equal to one-sixth the product of its surface area and radius.

What is the name of the theorem that Apastamba developed to calculate the surface area of a sphere?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the surface area of a sphere is equal to four times the area of a great circle.

What is the name of the theorem that Apastamba developed to calculate the volume of a cylinder?

  1. Pythagorean theorem

  2. Apastamba's theorem

  3. Brahmagupta's theorem

  4. Bhaskara's theorem

Show answer
Correct Option: B
Explanation:

Apastamba's theorem states that the volume of a cylinder is equal to the product of its base area and height.

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