cumcra


 * cucr118 link chap 9

__7.2__**


 * **Define + use a formula for finding the SA of a right prism.**
 * **Define + use a formula for finding the V of a right prism.**
 * **Use Cavaliers Principle to develop a formula for the V of a right oblique [|prism].**

SA** LA + 2BA or S**HP + 2BA
 * SA of a right prism with LA, BA, P and H is

V of a prism with H and BA is

V = BAH

Cavalier’s Principle: If 2 solids have** heights + the cross sections formed by every plane parallel to the bases of both solids have**areas, then the 2 solids have = V’s. Example:V=BH** (294 square root of 3509.22 __7.1__


 * **Explore ratios of SA to V.**
 * **Develop the concepts of maximizing V + minimizing SA.**


 * SA and V formulas

SA and V of a right rectangular prism with L(length), W(width), and H are

SA** 2LW + 2WH + 2LH and V**LWH

SA and V of a cube with S(side) are

SA** 6S squared and V**S cubed Example:10, 8, 2** V160 __7.3__

OBJECTIVES


 * **Define + use a formula to find SA (surface area) of a pyramid.**
 * **Define + use a formula for V (volume) of a [|pyramid].**


 * SA of regular pyramid = The SA, of a pyramid with LA (lateral area), BA (base area) PA (perimeter of the base) + //L// (slant height) is

SA** LA + BA or SA**½ //L//PA + BA

V of a pyramid with H (height) + BA is

V = 1/3 BAH Example:V= 1/3 BH** 1/3 (776 squared) (481)96,548,885

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OBJECTIVES


 * **Define + use a formula for the SA of a right [|cylinder].**
 * **Define + use a formula for the V of a cylinder.**


 * SA of a right cylinder with LA, BA, R (radius) and H is

SA** LA + 2BA or SA**2(3.14)(pie) RH + 2(3.14) R squared

V of a cylinder with R, H and BA is

V** BAH or V**(3.14) R squared H** __7.5__
 * Example:V=pie R squared H=pie(3.833) squared (28.667) = 1323

OBJECTIVES**


 * **Define + use the formula for the SA of a cone.**
 * **Define + use the formula for the V of a cone.**


 * SA of a right cone with LA, BA, R and //L// is

SA** LA + BA or SA**(3.14)R//L// + (3.14)R squared

V of a cone with R, H, and BA is

V** 1/3BAH or V**1/3(3.14)R squared H Example:V= 1/3 pie R squared H=1/3 (1 squared) (0.5) Answer:0.52 __7.6__

OBJECTIVES**


 * **Define + use the formula for the SA of a sphere.**
 * **Define + use the formula for the V of a [|sphere].**


 * V of a sphere with R is

V = 4/3(3.14)R cubed

SA of a sphere with R is

SA = 4(3.14)R squared

Example: R** 8, use V**4/3(3.14)R cubed, V = 4/3(3.14)8 cubed Answer: 2048/3

Example: R** 33, use SA**4(3.14)R squared, SA = 4(3.14)33 squared Answer: 4356(3.14)**