Calculating Surface Area of 3D Figures and Composite Solids

Mrs. Glenn, the Math Tuber, explains how to find the surface area of various geometric figures, including rectangular prisms, triangular prisms, pyramids, cylinders, and composite figures. She demonstrates different methods, such as labeling sides and using formulas, to calculate surface areas. The video also covers finding missing dimensions and calculating the slant height of a pyramid, providing a comprehensive guide to understanding surface area in geometry.

What is the formula for the surface area of a rectangle?

• Length x Width x Height

• 2(Length + Width)

• Length x Width

• Length + Width

Tags

CCSS.7.G.B.6

How many sides does a rectangular prism have?

• 8

• 5

• 4

• 6

Tags

CCSS.7.G.B.6

How do you calculate the surface area of a triangular prism?

• Base x Height / 2

• (Base x Height / 2) x 3

• Base x Height

• Base x Height x Length

Tags

CCSS.7.G.B.4

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

• 2πr

• πd

• 2πd

• πr^2

Tags

CCSS.7.G.B.4

What is the area of a circle with a radius of 9?

• 18π

• 81

• 81π

• 254.34

What is the height of a cylinder if its surface area includes a circle with a radius of 9 and a rectangle with a height of 5?

• 5 units

• 14 units

• 9 units

• 18 units

In a composite figure of a cylinder and a rectangular prism, how many circles are included in the surface area calculation?

• None

• Three

• Two

• One

Tags

CCSS.5.MD.C.5C

For a composite figure of a cylinder and a rectangular prism, what changes in the surface area calculation?

• Subtraction of two circles

• Division of the prism's base

• Addition of two circles

• Multiplication of the cylinder's height

Tags

CCSS.7.G.B.6

What is the missing dimension if the surface area of a rectangular prism is 82 square feet and one side is 7.5 by 5 feet?

• 0.28 feet

• 0.5 feet

• 1 foot

• 2 feet

Tags

CCSS.7.G.B.6

What is the slant height of a pyramid if its surface area is 374.96 square units?

• 20 units

• 40 units

• 30 units

• 50 units

Tags

CCSS.7.G.B.6