A Prism is a 3D solid with two congruent sides called bases
The bases are in parallel planes
Other sides are called lateral faces
In between the lateral faces are lateral edges
The Surface Area or Total Area of the sum of all its faces
The Lateral Area is the sum of all its lateral faces
Notes The Lateral Area of a right prism L.A. = Ph The Surface Area or Total Area of a right prism T.A. = L.A. + 2B
EXAMPLE 2 Find volumes of prisms and cylinders Find the volume of the solid. a. Right trapezoidal prism SOLUTION V = Bh = 30(5) = 150cm 3 (3)(6 + 14) a. The area of a base is 1 2 = 30cm 2 and h = 5 cm.
EXAMPLE 3 Use volume of a prism ALGEBRA The volume of the cube is 90 cubic inches. Find the value of x . SOLUTION A side length of the cube is x inches. V = x 3 90 in 3 . = x 3 4.48 in. ≈ x Formula for volume of a cube Substitute for V . Find the cube root.