Exploring Surface Area Calculations

The video tutorial covers how to find the surface area of prisms, including rectangular and triangular prisms. It explains two methods: using a net to visualize and calculate the surface area by summing the areas of all faces, and using a formula (S = Ph + 2B) where S is the surface area, P is the perimeter of the base, h is the height, and B is the area of the base. The tutorial provides examples for both methods, emphasizing the formula's efficiency and accuracy.

What is the first step in finding the surface area of a prism?

• Multiply the length by the width

• Measure the prism's volume

• Set up a net and calculate the area of each face

• Apply the surface area formula directly

Tags

CCSS.7.G.B.6

What does the 'P' in the surface area formula stand for?

• The prism's volume

• The perimeter of the base

• The prism's height

• The power of the prism

Tags

CCSS.7.G.B.6

How do you calculate the area of the base in a rectangular prism?

• Length + Width

• Length x Height

• Length x Width

• Width / Height

Tags

CCSS.7.G.B.6

For the triangular prism example, what is the perimeter of the base?

• 45 centimeters

• 15 centimeters

• 30 centimeters

• 60 centimeters

Tags

CCSS.7.G.B.6

What does the 'H' represent in the surface area formula?

• Height of the prism

• Height of the base

• Horizontal length

• Hypotenuse of the base

Tags

CCSS.7.G.B.6

What is the formula for finding the surface area of prisms?

• S = 2lh + 2wh + 2lw

• S = ph + 2B

• S = lwh

• S = 2πrh

Tags

CCSS.7.G.B.6

What does 'Big B' represent in the surface area formula?

• The height of the base

• The perimeter of the base

• The area of the base

• The volume of the base

Tags

CCSS.7.G.B.6

What is the surface area of the rectangular prism example given in the video?

• 650 square inches

• 440 square inches

• 510 square inches

• 300 square inches

Tags

CCSS.7.G.B.6

In the final example, what was the height of the prism?

• 25 centimeters

• 15 centimeters

• 30 centimeters

• 18 centimeters

Tags

CCSS.7.G.B.6

How do you find the perimeter of the base for the last prism example?

• Add the length and width, then double it

• Length plus width times two

• Multiply the length by two

• Add all sides of the base

Tags

CCSS.7.G.B.6