Exploring Surface Area Calculations for Triangular Prisms

The video tutorial explains how to calculate the surface area of a triangular prism, which is a block of cheese. The instructor guides through identifying the dimensions of the prism, calculating the area of its triangular bases, and the areas of its rectangular sides. The tutorial uses color coding to help visualize the different parts of the prism and concludes by summing up all the calculated areas to find the total surface area.

What is the primary goal in finding the minimum wrapping needed for the cheese?

• To understand the cheese's density

• To find the surface area of the cheese

• To determine the weight of the cheese

• To calculate the volume of the cheese

How many bases of the triangular prism are identical?

• One

• Two

• Three

• Four

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

What is the formula used to calculate the area of a triangle?

• Length x Width

• 1/2 Base x Height

• Base x Height

• 2(Base + Height)

Tags

CCSS.6.G.A.1

What are the dimensions of the triangular base's height?

• 7.5 inches

• 5 inches

• 8 inches

• 2.75 inches

Tags

CCSS.1.G.A.1

CCSS.2.G.A.1

Which color was used to highlight the dimension that is 7.5 inches?

• Yellow

• Pink

• Green

• Blue

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the area of the triangle calculated in the video?

• 6.875 square inches

• 55 square inches

• 13.75 square inches

• 27.5 square inches

Tags

CCSS.6.G.A.1

What is the area of the rectangle with sides pink and yellow?

• 60 square inches

• 45 square inches

• 75 square inches

• 90 square inches

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How many different rectangles are part of the prism's surface?

• Two

• Three

• Four

• Five

Tags

CCSS.6.G.A.4

What is the total surface area required to wrap the cheese?

• 131.875 square inches

• 125.875 square inches

• 145.875 square inches

• 137.875 square inches

Why is it recommended to run the final calculation through the calculator twice?

• To practice mathematical operations

• To waste time

• To check the calculator's battery

• To ensure accuracy