Lateral & Total Surface Area Involving Rectangular Prisms Triangular Prisms & Cylinders

T.i.P.S.

Students must use what they previously learned in seventh grade related to lateral surface area and total surface area to make connections to the formulas to solve problems that involve determining the lateral surface area and total surface area of rectangular prisms, triangular prisms, and cylinders. Students must have a strong understanding of a net of a particular shape to make connections between finding the area of each part of the shape and how adding those parts together can lead to the use of the formula involving the perimeter of the base shape. Students must be able to substitute the correct area formula for B, the area of base figure. 

Example

Mr. Hernandez wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so that he knows how much paint to buy.

Including the doors, what is the lateral surface area of the storage shed in square feet?

Hint
Possible Solutions

TEKS

Readiness Standard 8.7 Expressions, equations, and relationships. The student applies mathematical process standards to use geometry to solve problems. The student is expected to:

(B) use previous knowledge of surface area to make connections to the formulas for lateral and total surface area and determine solutions for problems involving rectangular prisms, triangular prisms, and cylinders

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