The document defines and provides information about prisms. It states that a prism is a 3D solid with two congruent bases that are parallel planes. It also defines lateral faces and edges. The document provides formulas for calculating the lateral area and total surface area of right prisms. It gives an example of calculating the volume of a right trapezoidal prism and using the volume formula of a cube to solve an algebra problem.

1. 12-1
Prisms

2. 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

3. Notes

4. 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

5. Notes

6. Theorem 12-2

7. EXAMPLE 2 Find volumes of prisms and cylinders
Find the volume of the solid.
a. Right trapezoidal prism
SOLUTION
(3)(6 + 14)a. The area of a base is 1
2
= 30cm2
and h = 5 cm.
V = Bh = 30(5) = 150cm3

8. 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 = x3
90 in3
. = x3
4.48 in. ≈ x
Formula for volume of a cube
Substitute for V.
Find the cube root.

9. SPICSA
• 478 2-18 even

10. SPICSA
• 478 2-18 even