Area and Volume Calculation Methods

The video tutorial covers the concept of finding the area of various polygons by breaking them into simpler shapes. It introduces tangrams as a tool for understanding area and demonstrates two methods: the addition method and the surround and subtract method. The tutorial also applies these methods to practical problems, such as calculating the area of a garden and a hotel lobby, emphasizing real-world applications.

What is a tangram?

• A type of polygon

• A square divided into smaller shapes

• A method for calculating area

• A type of triangle

If a small triangle in a tangram has an area of 0.5 square units, what is the area of the medium triangle?

• 0.5 square units

• 1 square unit

• 1.5 square units

• 2 square units

How do you find the area of a rectangle?

• Base plus height

• Base times height

• One-half base times height

• Base minus height

What is the addition method used for?

• Finding the perimeter of polygons

• Calculating the area by adding areas of smaller shapes

• Finding the volume of 3D shapes

• Subtracting areas of smaller shapes

In the surround and subtract method, what is the first step?

• Calculate the perimeter

• Extend the shape into a larger rectangle

• Divide the shape into triangles

• Subtract the smaller shapes

What is the area of a square with a side length of 60 units?

• 1800 square units

• 1200 square units

• 2400 square units

• 3600 square units

How many bags of mulch are needed for a garden of 351 square feet if one bag covers 12 square feet?

• 31 bags

• 32 bags

• 30 bags

• 29 bags

What is the cost to carpet a lobby of 1116 square feet if the carpet costs $3 per square foot?

• $3000

• $3600

• $3348

• $3500

Which method is more suitable for irregular shapes?

• Both methods

• Addition method

• Neither method

• Surround and subtract method

What is the formula for the area of a trapezoid?

• One-half base times height

• One-half height times the sum of the bases

• Base plus height

• Base times height