Area and Volume Calculations

This video tutorial for grade 7 math covers solving area problems for composite figures. It explains how to break down composite figures into simpler shapes like triangles, quadrilaterals, and semicircles to calculate their area. The tutorial includes practical examples, such as calculating the cost of carpeting a room and determining the number of pavers needed for a patio. It emphasizes the importance of using formulas and provides tips for organizing them for easy access. The video concludes with a summary and a preview of upcoming topics in geometry.

What is a composite figure made up of?

• A single complex shape

• Only circles

• Two or more simpler figures

• Only triangles

Which formula is used to calculate the area of a rectangle?

• Half base times height

• Base times height

• Base one plus base two

• Length times width

How do you find the area of a trapezoid?

• Length times width

• Base one plus base two

• Half times height times (base one plus base two)

• Base times height

If a room has an area of 276 square feet, how many square yards is that?

• 35 square yards

• 30.66 square yards

• 25 square yards

• 40 square yards

What is the cost to carpet a room of 30.66 square yards if the carpet costs $23 per square yard?

• $690.00

• $750.00

• $705.18

• $720.00

How many square feet are in a rectangle that is 12 feet by 14 feet?

• 200 square feet

• 180 square feet

• 150 square feet

• 168 square feet

How many six-inch square pavers are needed for a patio of 189 square feet?

• 800 pavers

• 600 pavers

• 500 pavers

• 756 pavers

What is the area of a triangle with a base of 7 feet and a height of 6 feet?

• 18 square feet

• 30 square feet

• 42 square feet

• 21 square feet

How many six-inch squares fit into one square foot?

• 5

• 3

• 2

• 4

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