12-1 Prisms

Notes 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

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

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

Notes

Theorem 12-2

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.

SPICSA 478 2-18 even

478 2-18 even