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Formulas U Need to Know. For the 7 th Grade EOG. Perimeter of a Polygon. General Rule for Perimeter – The perimeter of a polygon is the sum of the lengths of the sides. P=s+s+s… Triangle Perimeter is the sum of the lengths of the three sides. P=s+s+s. Perimeter Cont’d.
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Formulas U Need to Know For the 7th Grade EOG
Perimeter of a Polygon General Rule for Perimeter – The perimeter of a polygon is the sum of the lengths of the sides. P=s+s+s… Triangle Perimeter is the sum of the lengths of the three sides. P=s+s+s
Perimeter Cont’d Perimeter of a Square is the length of one side times 4. P=4s Rectangle Perimeter equals two time the length plus two times the width P=2l+2w
Circumference of a Circle Circumference equals two time pi times the radius C=2πr or Circumference equals pi times the diameter C=πd
Area Formulas Area of a square equals the length of one side squared A=s2 Area of a rectangle equals the length times the width A=lw Area of a parallelogram equals the base times the height A=bh
Area Formulas Cont’d Area of a triangle equals one-half the base times the height A=(1/2)bh Area of a circle equals pi times the radius squared A=πr2
Volume Formulas General Formula for a Prism Volume equals area of the Base times height V=Bh Rectangular Prism Volume equals length times width times height. V=lwh
Volume Formulas Cont’d Triangular Prism Volume equals half the length of the triangular base times the triangle’s height times the prism’s height V=(1/2)bh*h
Volume Formulas, One More Cylinder Volume of a cylinder equals the area of the circular Base times the height of the cylinder V=πr2h
Surface Area of a Prism General Formula-the surface area of a prism is equal to two times the area of the polygonal Base plus the combined surface area of all the rectangular sides (as determined by multiplying the Perimeter of the base by the height of the prism). S=2B+Ph
Surface Area of a Rectangular Prism The surface area of a rectangular prism is equal to two times the length times the width plus two times the length times the height plus two time the width time the height. S=2lw+2lh+2wh
Surface Area of a Triangular Prism The surface area of a triangular prism is equal to two times the area of the triangular Base plus the combined area of the three rectangular sides (as determined by multiplying the Perimeter of the triangular base by the height of the prism). S=2(1/2)bh+Ph
Surface Area of a Cylinder The surface area of a cylinder is equal to two times the area of the circular Base plus the area of the lateral surface (a rectangle) connecting the two bases (determined by multiplying the Circumference of the base by the height of the cylinder). S=2πr2+2πrh