Surface Area and Volume Formulas Illustr

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Surface Area & Volume Formulas : 

Surface Area & Volume Formulas

Surface Area of a Prism : 

Surface Area of a Prism S.A. = L.A. + 2B = ph + 2B The variable “p” stands for the PERIMETER OF THE BASE. The variable “h” stands for the HEIGHT OF THE PRISM. The “2” in this formula accounts for BOTH bases. Use “1” when the prism is open at the top. The “B” is the area of the prism’s BASE. The way this is calculated will depend on the shape of the base.

Surface Area of a Cylinder : 

Surface Area of a Cylinder S.A. = L.A. + 2B = 2?r·h + 2·?r2 The variable “r” stands for the RADIUS OF THE BASE. The cylinder’s HEIGHT is labeled “h.” If the cylinder has no top, use “1” here. A tube is a cylinder with “0” bases.

Surface Area of a Pyramid : 

Surface Area of a Pyramid S.A. = L.A. + 1B = ½ p + 1B The variable “p” stands for the PERIMETER OF THE BASE. l The variable “ ” stands for the S ANT HEIGHT. Note: NOT the pyramid’s height! l l “B” is BASE AREA. This changes according to the shape of the base.

Surface Area of a Cone : 

Surface Area of a Cone S.A. = L.A. + 1B = ?r + ?r2 The variable “r” stands for the RADIUS OF THE BASE. l l l The variable “ ” is the cone’s S ANT HEIGHT, not the height of the cone.

Volume of a Prism : 

Volume of a Prism V = Bh The variable “h” stands for the HEIGHT OF THE PRISM. The “B” is the area of the prism’s BASE. The way this is calculated will depend on the shape of the base.

Volume of a Cylinder : 

Volume of a Cylinder V = ?r2h The variable “r” stands for the RADIUS OF THE BASE. The cylinder’s HEIGHT is labeled “h.”

Volume of a Pyramid : 

Volume of a Pyramid V = Bh The variable “h” stands for the HEIGHT OF THE PYRAMID. This is NOT the slant height. “B” is BASE AREA. This changes according to the shape of the base. 1 3

Volume of a Cone : 

Volume of a Cone V = Bh = ?r2h The variable “r” stands for the RADIUS OF THE BASE. The variable “h” stands for the HEIGHT OF THE CONE. Do NOT use the slant height here.

Surface Area of a Sphere : 

Surface Area of a Sphere S.A. = 4?r2 The variable “r” stands for the RADIUS OF THE SPHERE.

Volume of a Sphere : 

Volume of a Sphere V = ?r3 The variable “r” stands for the RADIUS OF THE SPHERE.