8th Grade Math Formulas Flashcards

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) )

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!