Geometry Area and Volume Formulas
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Questions and Answers

What is the formula for the area of a rectangle/parallelogram?

  • A = bh (correct)
  • A = b + h
  • A = b * h
  • A = b - h

    • What is the formula for the area of a triangle?

    A = bh/2

    What is the formula for the area of a trapezoid?

    A = (b1 + b2)h/2

    What is the formula for the area of a circle?

    <p>A = 3.14r^2</p> Signup and view all the answers

    What is the formula for the surface area of a rectangular prism?

    <p>SA = 2lw + 2lh + 2wh</p> Signup and view all the answers

    What is the formula for the surface area of a triangular prism?

    <p>SA = 2B + Ph</p> Signup and view all the answers

    What is the formula for the surface area of a cylinder?

    <p>SA = 2(3.14)r^2 + 3.14dh</p> Signup and view all the answers

    What is the formula for the surface area of a pyramid?

    <p>SA = 1/2Pl + B</p> Signup and view all the answers

    What is the formula for the surface area of a cone?

    <p>SA = 3.14rl + B</p> Signup and view all the answers

    What is the formula for the surface area of a sphere?

    <p>SA = 4(3.14)r^2</p> Signup and view all the answers

    What is the formula for the volume of a prism?

    <p>V = Bh</p> Signup and view all the answers

    What is the formula for the volume of a cylinder?

    <p>V = 3.14r^2h</p> Signup and view all the answers

    What is the formula for the volume of a cone/pyramid?

    <p>V = 1/3Bh</p> Signup and view all the answers

    What is the formula for the volume of a sphere?

    <p>V = 4/3(3.14)r^3</p> Signup and view all the answers

    What is the formula for simple interest?

    <p>I = prt</p> Signup and view all the answers

    What is the formula for compound interest?

    <p>B = p(1 + r)^t</p> Signup and view all the answers

    What is the formula for slope?

    <p>m = (y1 - y2) / (x1 - x2)</p> Signup and view all the answers

    What direction does 'up or down' indicate?

    <p>up</p> Signup and view all the answers

    Study Notes

    Area Formulas

    • Area of a rectangle/parallelogram: ( A = bh ) (base × height)
    • Area of a triangle: ( A = \frac{1}{2}bh ) (half the base × height)
    • Area of a trapezoid: ( A = \frac{(b_1 + b_2)h}{2} ) (average of the two bases × height)
    • Area of a circle: ( A = 3.14r^2 ) (π times the radius squared)

    Surface Area Formulas

    • Surface area of a rectangular prism: ( SA = 2lw + 2lh + 2wh ) (sum of areas of all faces)
    • Surface area of a triangular prism: ( SA = 2B + Ph ) (2 times the base area plus perimeter times height)
    • Surface area of a cylinder: ( SA = 2(3.14)r^2 + 3.14dh ) (top and bottom areas plus the lateral area)
    • Surface area of a pyramid: ( SA = \frac{1}{2}Pl + B ) (half the perimeter times slant height plus base area)
    • Surface area of a cone: ( SA = 3.14rl + B ) (lateral area plus base area)
    • Surface area of a sphere: ( SA = 4(3.14)r^2 ) (surface area in terms of radius)

    Volume Formulas

    • Volume of a prism: ( V = Bh ) (base area times height)
    • Volume of a cylinder: ( V = 3.14r^2h ) (base area (circle) times height)
    • Volume of a cone/pyramid: ( V = \frac{1}{3}Bh ) (one-third of the base area times height)
    • Volume of a sphere: ( V = \frac{4}{3}(3.14)r^3 ) (proportional to the cube of the radius)

    Financial Formulas

    • Formula for simple interest: ( I = prt ) (interest equals principal times rate times time)
    • Formula for compound interest: ( B = p(1 + r)^t ) (final balance calculated on principal plus interest)

    Miscellaneous

    • Formula for slope: ( m = \frac{y_1 - y_2}{x_1 - x_2} ) (change in y over change in x)
    • Directional reference: Up indicates an increase on a graph.

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    Description

    This quiz focuses on important area, surface area, and volume formulas used in geometry. Each card presents a formula that students need to memorize for solving related mathematical problems. Perfect for students brushing up on geometry concepts.

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