8th Grade Math Formulas Flashcards

Questions and Answers

What is the formula for the perimeter of a square?

Area = πr^2

Circumference = 2πr

Area = s^2 (correct)

Perimeter = 4s (correct)

What is the formula for the circumference of a circle?

Circumference = 2πr (correct)

Area = πr^2 (correct)

Perimeter = 2l + 2w

Area = 1/2 bh

What is the formula for the area of a rectangle?

Area = L * W (correct)

Perimeter = 2l + 2w (correct)

Area = 1/2 bh

Volume = area of base * height

What is the sum of the angles in a triangle?

180 Signup and view all the answers

What is the formula for the area of a triangle?

Area = 1/2 * b * h Signup and view all the answers

What is the formula for the perimeter of a parallelogram?

Perimeter = 2a + 2b Signup and view all the answers

What is the formula for the area of a trapezoid?

Area = 1/2 * h * (b1 + b2) Signup and view all the answers

What is slant height in geometrical terms?

Is the diagonal distance from the top point to the base Signup and view all the answers

How is the volume of a cylinder calculated?

Surface Area = 2 * area of base + circumference * height Signup and view all the answers

What is the formula for the volume of a right pyramid?

Surface Area = area of base + (1/2 * perimeter of base * slant height) Signup and view all the answers

What is the formula for the volume of a sphere?

Volume = 4/3 * π * radius^3 Signup and view all the answers

How is the surface area of a sphere calculated?

Surface Area = 4 * π * radius^2 Signup and view all the answers

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

Volume = L * W * H Signup and view all the answers

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) )

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!