Calculating Surface Area of Prisms and Cylinders

In this video, Mario from Mario's Math Tutoring explains how to find the surface area of prisms and cylinders. He begins by introducing the concept of surface area and the similarities between prisms and cylinders. For prisms, he describes the formula involving the area and perimeter of the base, and demonstrates with a square prism example. For cylinders, he explains the formula using the area of the circles and the circumference for the lateral area, providing a detailed example. The video aims to simplify the process of calculating surface area for these shapes.

What shapes form the bases of a prism?

• Hexagons

• Triangles

• Squares

• Circles

Tags

CCSS.7.G.A.3

Why are prisms and cylinders grouped together when discussing surface area?

• Because they both have only flat surfaces

• Because they can both be unfolded into a rectangle

• Because they have the same formulas for surface area

• Because they both have two bases that are parallel and congruent

Tags

CCSS.7.G.B.6

How do you calculate the surface area of a prism?

• Area of the base + height

• 2 times the area of the base + perimeter of the base times height

• Length times width times height

• Perimeter of the base times height

Tags

CCSS.7.G.B.6

What is the formula for the area of a rectangle?

• Length + Width

• Length times Width

• 2 times (Length + Width)

• Length / Width

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What does the 'P' represent in the formula for the surface area of a prism?

• The PI value

• The perimeter of the base

• The product of the base's sides

• The power of the base

Tags

CCSS.7.G.B.6

What does the circumference of the circle represent in the context of a cylinder's surface area?

• The height of the cylinder

• The radius of the base

• The length of the rectangle formed when the cylinder is opened

• The area of the base

How do you find the area of a circle?

• 2 * PI * radius squared

• PI * radius squared

• PI * radius

• 2 * PI * radius

Tags

CCSS.7.G.B.4

What is the formula to calculate the surface area of a cylinder?

• 2 * (PI * radius squared) + (2 * PI * radius * height)

• 2 * PI * radius squared + 2 * PI * radius * height

• PI * radius squared * height

• 2 * PI * radius + 2 * PI * height

What are the units used to express area?

• Quadratic units

• Square units

• Linear units

• Cubic units

Tags

CCSS.3.MD.C.6

What geometric shapes make up the surface area of a cylinder?

• Two rectangles and a circle

• Two circles and a square

• Two circles and a rectangle

• A circle and a rectangle

Tags

CCSS.6.G.A.4