Podcast
Questions and Answers
What is the formula for the area of a rectangle/parallelogram?
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?
What is the formula for the area of a triangle?
A = bh/2
What is the formula for the area of a trapezoid?
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?
What is the formula for the area of a circle?
What is the formula for the surface area of a rectangular prism?
What is the formula for the surface area of a rectangular prism?
What is the formula for the surface area of a triangular prism?
What is the formula for the surface area of a triangular prism?
What is the formula for the surface area of a cylinder?
What is the formula for the surface area of a cylinder?
What is the formula for the surface area of a pyramid?
What is the formula for the surface area of a pyramid?
What is the formula for the surface area of a cone?
What is the formula for the surface area of a cone?
What is the formula for the surface area of a sphere?
What is the formula for the surface area of a sphere?
What is the formula for the volume of a prism?
What is the formula for the volume of a prism?
What is the formula for the volume of a cylinder?
What is the formula for the volume of a cylinder?
What is the formula for the volume of a cone/pyramid?
What is the formula for the volume of a cone/pyramid?
What is the formula for the volume of a sphere?
What is the formula for the volume of a sphere?
What is the formula for simple interest?
What is the formula for simple interest?
What is the formula for compound interest?
What is the formula for compound interest?
What is the formula for slope?
What is the formula for slope?
What direction does 'up or down' indicate?
What direction does 'up or down' indicate?
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 ) (Ï€ 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.
