Area and Volume Calculations

This lesson covers the concept of calculating areas of rectangles and squares with fractional side lengths. It includes activities using graph paper to draw and calculate areas, explores multiplication expressions for area calculation, and solves problems related to tiling. The lesson concludes with a summary and homework instructions.

What is the area of a square with side lengths of 1/2 inch?

• 2 square inches

• 1 square inch

• 1/4 square inch

• 1/2 square inch

If a square has side lengths of 1/3 inch, what is its area?

• 1/9 square inch

• 1 square inch

• 3 square inches

• 1/3 square inch

How many 1/4 inch squares can fit inside a 1-inch square?

• 16

• 12

• 8

• 4

What is the area of a rectangle with dimensions 3 1/2 inches by 2 1/4 inches?

• 10 square inches

• 7 7/8 square inches

• 9 square inches

• 8 square inches

Which multiplication expression represents a rectangle with an area of 11 7/8 square inches?

• 2 x 4 3/4

• 2 x 4

• 2 1/2 x 4

• 2 1/2 x 4 3/4

How many tiles are needed to cover a tray with a width of 11 1/4 inches and an area of 50 5/8 square inches?

• 130

• 110

• 100

• 120

If a room is 12 feet by 15 feet, how many 1 1/3 foot square tiles are needed to cover the floor?

• 130

• 120

• 108

• 100

What is the length of a rectangle if its area is 17 1/2 square inches and one side is 3 1/2 inches?

• 7 inches

• 6 inches

• 5 inches

• 4 inches

How many books of length 1 1/2 inches can fit on a 42-inch long shelf?

• 28

• 30

• 32

• 34

How long does it take to fill a 50-gallon tub if it takes 1 1/4 minutes to fill a 3-gallon bucket?

• 20 minutes

• 21 minutes

• 22 minutes

• 23 minutes