Calculating Surface Area of Prisms and Cylinders

This video tutorial covers how to calculate the surface area of various 3D shapes, including prisms and cylinders. It begins with an explanation of surface area concepts for both 2D and 3D shapes. The tutorial then provides step-by-step instructions for calculating the surface area of prisms with triangular bases, cylinders with circular bases, and hexagonal prisms. Each section includes detailed examples and calculations. The video concludes with a summary and an invitation to subscribe for more math tutorials.

What is the surface area of a 3D object?

• The space on the outside of the object

• The volume of the object

• The length of the object

• The space inside the object

How many faces does a cube have?

• 4

• 6

• 8

• 12

Tags

CCSS.6.G.A.4

How do you calculate the area of a triangle?

• One-half base times height

• Pi times radius squared

• Base times height

• Length times width

Tags

CCSS.6.G.A.1

What is the height of a triangle with a base of 6 inches and a side length of 6 inches?

• 3 inches

• 9 inches

• 6 inches

• Square root of 27 inches

Tags

CCSS.6.G.A.1

For a prism with triangular bases, if one base has an area of 15.6 inches squared, what is the total area of both bases?

• 124.8 inches squared

• 62.4 inches squared

• 31.2 inches squared

• 15.6 inches squared

Tags

CCSS.7.G.B.6

What formula is used to find the area of a circle?

• Length times width

• Base times height

• 2 Pi times radius

• Pi times radius squared

Tags

CCSS.7.G.B.4

What is the area of the base for a cylinder with a diameter of 2 feet?

• 3.14 feet squared

• 25.12 feet squared

• 6.28 feet squared

• 12.56 feet squared

Tags

CCSS.7.G.B.4

How do you calculate the surface area of a cylinder's side (curved surface)?

• 2 Pi times radius times height

• Pi times diameter times height

• Length times circumference

• Base times height

What is the formula to find the circumference of a circle?

• 2 Pi times radius

• Pi times diameter

• Pi times radius squared

• 2 times radius

Tags

CCSS.7.G.B.4

What is the total area of a hexagon with six sides of 10 yards each and a perpendicular distance from the center to a side of 4 yards?

• 120 yards squared

• 240 yards squared

• 480 yards squared

• 960 yards squared

Tags

CCSS.6.G.A.1