Surface Area and Perimeter of Prisms

The video tutorial covers Standard 87b, focusing on using previous knowledge of surface area to solve problems involving rectangular prisms, triangular prisms, and cylinders. It emphasizes the importance of using reference materials from the Star grade 8 mathematics assessment. The tutorial includes a detailed example problem from the 2016 assessment, demonstrating how to calculate the total surface area of a rectangular prism by finding the perimeter, height, and area of the base, and then substituting these values into the formula.

What is the main focus of Standard 87b?

• Understanding volume of prisms and cylinders

• Studying the properties of triangles

• Using previous knowledge of surface area to solve problems

• Learning about angles and their properties

Why is the reference material sheet important for students?

• It helps in understanding algebraic expressions

• It provides formulas for surface area

• It contains the answers to the assessment

• It includes historical math facts

What does the formula for total surface area of a prism include?

• Volume and height

• Perimeter of the base and area of the base

• Length and width

• Diameter and radius

In the example problem, what shape is the base of the rectangular prism?

• Rectangle

• Triangle

• Circle

• Square

What is the formula for the total surface area of a prism?

• s = 4πr²

• s = pH + 2B

• s = 2πr(h + r)

• s = l * w * h

How do you calculate the perimeter of the base of a rectangular prism?

• 2L + 2W

• Add all the sides

• L + W + H

• L * W

What is the height of the rectangular prism in the example?

• 2 in

• 8.2 in

• 5 in

• 3.4 in

How is the area of the base of the rectangular prism calculated?

• L + W

• L * W

• 2L + 2W

• L * H

What is the value of the perimeter of the base in the example?

• 30 in

• 15.6 in

• 27.8 in

• 23.2 in

What is the total surface area of the rectangular prism in the example?

• 102.6 in²

• 150 in²

• 200 in²

• 75 in²