Podcast
Questions and Answers
What is the formula for the perimeter of a square?
What is the formula for the perimeter of a square?
What is the formula for the circumference of a circle?
What is the formula for the circumference of a circle?
What is the formula for the area of a rectangle?
What is the formula for the area of a rectangle?
What is the sum of the angles in a triangle?
What is the sum of the angles in a triangle?
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What is the formula for the area of a triangle?
What is the formula for the area of a triangle?
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What is the formula for the perimeter of a parallelogram?
What is the formula for the perimeter of a parallelogram?
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What is the formula for the area of a trapezoid?
What is the formula for the area of a trapezoid?
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What is slant height in geometrical terms?
What is slant height in geometrical terms?
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How is the volume of a cylinder calculated?
How is the volume of a cylinder calculated?
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What is the formula for the volume of a right pyramid?
What is the formula for the volume of a right pyramid?
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What is the formula for the volume of a sphere?
What is the formula for the volume of a sphere?
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How is the surface area of a sphere calculated?
How is the surface area of a sphere calculated?
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What is the formula for the surface area of a rectangular prism?
What is the formula for the surface area of a rectangular prism?
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Study Notes
Square
- Perimeter formula: ( P = 4s ) (where ( s ) is the side length)
- Area formula: ( A = s^2 )
Circle
- Circumference formula: ( C = 2\pi r ) (where ( r ) is the radius)
- Area formula: ( A = \pi r^2 )
Rectangle
- Perimeter formula: ( P = 2l + 2w ) (where ( l ) is the length and ( w ) is the width)
- Area formula: ( A = L \times W )
Triangle
- Perimeter formula: ( P = a + b + c ) (where ( a ), ( b ), and ( c ) are the lengths of the sides)
- Area formula: ( A = \frac{1}{2} b \times h ) (where ( b ) is the base and ( h ) is the height)
- Sum of angles in a triangle equals 180 degrees
- Pythagorean Theorem: ( a^2 + b^2 = c^2 ) (applies to right-angled triangles)
Parallelogram
- Perimeter formula: ( P = 2a + 2b ) (where ( a ) and ( b ) are the lengths of the sides)
- Area formula: ( A = b \times h ) (where ( b ) is the base and ( h ) is the height)
Trapezoid
- Area formula: ( A = \frac{1}{2} h (b_1 + b_2) ) (where ( h ) is the height and ( b_1, b_2 ) are the lengths of the bases)
Slant Height
- Defined as the diagonal distance from the top point of a cone or pyramid to the base
General Prisms
- Volume formula: ( V = \text{Area of base} \times \text{height} )
- Surface Area is the sum of all face areas
Cylinder
- Volume formula: ( V = \text{Area of base} \times \text{height} )
- Surface area formula: ( SA = (2 \times \text{Area of base}) + (\text{Circumference} \times \text{height}) )
Right Pyramid
- Volume formula: ( V = \frac{1}{3} \times \text{Area of base} \times \text{height} )
- Surface area formula: ( SA = \text{Area of base} + \left( \frac{1}{2} \times \text{perimeter of base} \times \text{slant height} \right) )
Circular Cone
- Volume formula: ( V = \frac{1}{3} \times \text{Area of base} \times \text{height} )
- Surface area formula: ( SA = \text{Area of base} + \left( \frac{1}{2} \times \text{Circumference} \times \text{slant height} \right) )
Sphere
- Volume formula: ( V = \frac{4}{3} \pi r^3 ) (where ( r ) is the radius)
- Surface area formula: ( SA = 4 \pi r^2 )
Rectangular Prism
- Volume formula: ( V = L \times W \times H ) (where ( L ), ( W ), and ( H ) are the dimensions)
- Surface area formula: ( SA = 2(LW + LH + WH) )
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of essential mathematics formulas with these 8th grade flashcards. Covering shapes like squares, circles, rectangles, triangles, and parallelograms, this quiz will help reinforce your understanding of perimeter and area calculations. Perfect for quick reviews or studying for exams!
