11.2 and 11.4: prisms and cylinders. prisms prism – a 3-dimensional figure with two congruent,...
TRANSCRIPT
Prisms
Prism – A 3-dimensional figure with two congruent, parallel faces, called bases.
Lateral Faces – Faces that are not bases
Surface Area of Prisms
THEOREM 11.1 – Surface Area of PrismThe surface area of a prism is the sum of the lateral area and the area of the two bases.
S.A.L.A. 2B or S.A.ph 2B
4 in.12 in
.
RegularPentagon
Surface Area of Cylinder
THEOREM 11.2 – Surface Area of CylinderThe surface area of a cylinder is the sum of the lateral area and the area of the two bases.
S.A.L.A. 2B or S.A.2rh 2r2
Surface Area of Cylinders
Find the surface area of the following cylinder in terms of π. 4 in.
6 in.
Volume of Prisms
4 cm
6 cm
12 cm
THEOREM 11.6 – Volume of PrismThe volume of a prism is the product of the area of a base and the height of the prism.
V Bh
Volume of Cylinders
THEOREM 11.7 – Volume of CylinderThe volume of a cylinder is the product of the area of the base and the height of the cylinder.
V Bh or V r2h
Find the volume of the following cylinder in terms of π.