Questions and Answers
What is the formula for the perimeter and area of a triangle?
Perimeter = 1/2bh, Area = (b × h)/2
What is the formula for the perimeter and area of a rectangle?
Perimeter = 2 × l + 2 × w, Area = bh
What is the formula for the perimeter and area of a square?
Perimeter = 4 × s, Area = s²
What is the formula for the perimeter and area of a parallelogram?
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What is the formula for the perimeter and area of a rhombus?
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What is the formula for the perimeter of a trapezoid?
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What is the formula for the circumference and area of a circle?
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What is the formula for the volume of a cylinder?
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What is the formula for the volume of a pyramid?
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What is the formula for the volume of a cone?
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What is the formula for the volume of a sphere?
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What is the Pythagorean Theorem?
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How do you find the hypotenuse?
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What is the formula for the surface area of a sphere?
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What is the formula for the surface area of a cone?
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What is the formula for the surface area of a cylinder?
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Study Notes
Triangle Formulas
- Perimeter: ( P = \frac{1}{2}bh )
- Area: ( A = \frac{b \times h}{2} )
Rectangle Formulas
- Perimeter: ( P = 2l + 2w )
- Area: ( A = bh )
Square Formulas
- Perimeter: ( P = 4s )
- Area: ( A = s^2 )
Parallelogram Formulas
- Perimeter: ( P = 2a + 2b )
- Area: ( A = b \times h )
Rhombus Formulas
- Perimeter: ( P = 4b )
- Area: ( A = b \times h )
Trapezoid Formulas
- Perimeter: ( P = a + b + c + d )
Circle Formulas
- Circumference: ( C = \pi \times d )
- Area: ( A = \pi r^2 = \frac{\pi d^2}{4} )
Cylinder Formula
- Volume: ( V = \pi r^2 h )
Pyramid Formula
- Volume: ( V = \frac{1}{3} b h )
Cone Formula
- Volume: ( V = \frac{1}{3} \pi r^2 h )
Sphere Formulas
- Volume: ( V = \frac{4}{3} \pi r^3 )
- Surface Area: ( SA = 4\pi r^2 )
Rectangular Prism Formulas
- Volume: ( V = lwh )
- Surface Area: ( SA = 2lh + 2lw + 2wh )
Triangular Prism Volume Formula
- Volume: ( V = \frac{1}{2} b h l )
Cylinder Base Area and Volume
- Base Area: ( B = \pi r^2 )
- Volume: ( V = bh )
Radius Formula
- Relationship: ( C = 2\pi r )
Right Triangular Prism Volume Formula
- Volume: ( V = B = \frac{1}{2} bh )
Pythagorean Theorem
- Relationship: ( a^2 + b^2 = c^2 )
Finding the Hypotenuse
- Sum the squares of the legs and take the square root.
Cone Surface Area
- Formula: ( SA = B + LA = \pi r^2 + \pi r s )
Truncated Cone Volume Formula
- Volume: ( V = \frac{1}{3}\pi h (r^2 + rR + R^2) )
Cylinder Surface Area Formula
- Surface Area: ( SA = 2\pi r^2 + 2\pi rh )
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Description
Test your knowledge of essential geometry formulas for various shapes, including triangles, rectangles, circles, and more. This quiz covers perimeter, area, volume, and surface area calculations. Perfect for students looking to solidify their understanding of geometric concepts.
