A Quiz On Geometry Formulas

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A Quiz On Geometry Formulas - Quiz

As a student of math, you must have studied geometry. Haven't you? Would you like to try a quiz on geometry formulas right now? Geometry is the branch of mathematics that is concerned with the shape of individual objects, spatial relationships among the objects, as well as the surrounding space's properties. Geometry is one of the most interesting branches of mathematics for many math lovers. Do you know some common geometry formulas? Let's find out with these questions.


Questions and Answers
  • 1. 

    The formula for the area of a triangle

    • A.

      A = 1/2 × b × h

    • B.

      A = 2 × b × h

    • C.

      A = 1/4 × b × h

    • D.

      A = b × h

    Correct Answer
    A. A = 1/2 × b × h
    Explanation
    The formula for finding the area of a triangle is A = 1/2 × b × h, where A represents the area, b represents the base of the triangle, and h represents the height of the triangle. This formula is derived from the fact that the area of a triangle is equal to half the product of its base and height. Therefore, the correct answer is A = 1/2 × b × h.

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  • 2. 

    ∏r² is used for the

    • A.

      Area of a pentagon

    • B.

      Circumference of a circle

    • C.

      Area of square

    • D.

      Area of circle

    Correct Answer
    D. Area of circle
    Explanation
    The formula ∏r² is used to calculate the area of a circle. The symbol ∏ represents pi, which is a mathematical constant approximately equal to 3.14159. The letter r represents the radius of the circle, which is the distance from the center of the circle to any point on its circumference. By squaring the radius and multiplying it by pi, we can find the total area enclosed by the circle.

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  • 3. 

    Circumference of a circle is equal to

    • A.

      πr

    • B.

      2πr

    • C.

      1/2πr

    • D.

      4πr

    Correct Answer
    B. 2πr
    Explanation
    The circumference of a circle is the distance around its outer edge. It can be calculated using the formula 2πr, where r represents the radius of the circle. This formula is derived from the fact that the ratio of the circumference to the diameter of any circle is always π (pi). Therefore, the correct answer is 2πr, as it accurately represents the relationship between the circumference and the radius of a circle.

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  • 4. 

    What is the formula for the volume of a cube?

    • A.

      V = a3

    • B.

      V = a4

    • C.

      V = a

    • D.

      V = a x 1/2

    Correct Answer
    A. V = a3
    Explanation
    The formula for the volume of a cube is V = a^3, where "a" represents the length of one side of the cube. This formula is derived from the fact that all sides of a cube are equal in length, so when we multiply the length of one side by itself twice (a^2) and then multiply that by the length of one side again (a), we get the volume of the cube.

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  • 5. 

    V = lwh/3 is the formula for

    • A.

      Width of Pyramid

    • B.

      Height of Pyramid

    • C.

      Volume of Sphere

    • D.

      Volume of Pyramid

    Correct Answer
    D. Volume of Pyramid
    Explanation
    The formula V = lwh/3 represents the volume of a pyramid. This formula calculates the volume by multiplying the length, width, and height of the pyramid and then dividing the result by 3. Therefore, the correct answer is Volume of Pyramid.

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  • 6. 

    The area of the rectangle is

    • A.

      Height x Length x width

    • B.

      Length x width

    • C.

      2 x Length x width

    • D.

      Length/width

    Correct Answer
    B. Length x width
    Explanation
    The area of a rectangle can be calculated by multiplying its length and width. This is because the area of a rectangle represents the amount of space it occupies within its boundaries, and this can be determined by multiplying the lengths of its sides. Therefore, the correct answer is "Length x width".

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  • 7. 

    The formula that is used to find the third angle is

    • A.

      ∠A + ∠B = 180°

    • B.

      ∠A + ∠B + ∠C = 270°

    • C.

      ∠A + ∠B + ∠C = 180°

    • D.

      ∠A + ∠B + ∠C = 360°

    Correct Answer
    C. ∠A + ∠B + ∠C = 180°
    Explanation
    The formula used to find the sum of the angles in a triangle is ∠A + ∠B + ∠C = 180°. This is because the sum of the interior angles of any triangle is always 180°. Therefore, the correct answer is ∠A + ∠B + ∠C = 180°.

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  • 8. 

    What is the perimeter of a Square?

    • A.

      1/2(Side)

    • B.

      2(Side)

    • C.

      3(Side)

    • D.

      4(Side)

    Correct Answer
    D. 4(Side)
    Explanation
    The perimeter of a square is the sum of all its sides. Since a square has four equal sides, the correct answer is 4 times the length of one side.

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  • 9. 

    A = 6a2 is the formula to know the area of

    • A.

      Cube

    • B.

      Cone

    • C.

      Cylinder

    • D.

      Rectangle

    Correct Answer
    A. Cube
    Explanation
    The formula A = 6a^2 is used to calculate the surface area of a cube.

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  • 10. 

    V = πr2h is used for

    • A.

      The volume of a Cone

    • B.

      The height of a Cylinder

    • C.

      The volume of a Cylinder

    • D.

      The volume of a Sphere

    Correct Answer
    C. The volume of a Cylinder
    Explanation
    The formula V = πr2h is used to calculate the volume of a cylinder. It involves multiplying the area of the base (πr2) by the height (h) of the cylinder. This formula is derived from the fact that the volume of a cylinder is equal to the area of the base multiplied by the height. Therefore, the correct answer is "The volume of a Cylinder".

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  • Current Version
  • Aug 16, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 18, 2022
    Quiz Created by
    Keith Foster
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