Defining Volume, Area, and Perimeter
True or False. Volume is the amount of space an object takes up.
True!
I made a tower in the shape of a rectangular prism. The length was 8 in, width was 2 in, and height was 4 in. What was the volume of the figure?
8x2x4 = 64 in3
A cube has the dimensions H: 30cm , W: 15cm, L: 24cm.
What is the area of the base?
360 in2
A rectangle has a length of 8 meters and a width of 5 meters. What is the perimeter of the rectangle?
26 meters
Volume is measured in _______ .
A. Lines
B. Squares
C. Cubic Units
D. Cubes
C. Cubic Units
A box is 32 inches by 17 inches. What will its perimeter be?
32 x 2 = 64
17 x 2 = 34
64 + 34 = 98 in
Ms. Williamson has a box of paper clips in her supply area. The volume of the box is 120cm. The length is 6 cm and width is 4cm. What is the height?
5 cm
A square has an area of 81 square centimeters. What is the length of one side of the square?
Length: 9 centimeters
The formula for volume of a rectangular prism is:
Volume = Length x Width x Height
V = (l x w x h)
Describe in detail the difference between volume, area, and perimeter.
Volume: amount of space taken up by a 3D object (l x w x h)
Area: amount of space taken up by 2D object (l x w)
Perimeter: surrounding space of a 2D object (2l +2w)
What is the area of a rectangle with a width of 39 in and a length of 14 in?
546 in2
A rectangle has a perimeter of 36 meters. If one side is 10 meters, what is the length of the other side?
8 meters
When finding the volume of a prism measured in centimeters, the units on the volume should be represented as ______.
cm3, cubic centimeters, centimeters cubed
Lana had an “L” shaped piece of felt. Her mom cut it into two rectangles. One rectangle measured 5 inches by 9 inches, and the other measured 4 inches by 3 inches. What is the total area of the two rectangles?
57 in2 or 57 (square inches)
Pam and her friend Robin are at the craft store looking for canvases to paint on. They find one that says " H:32in, L:4in". Pam says the area of the canvas is 72 in2 but Robin claims it to be 128 in2. Who is right and what was the other person's mistake?
Robin is correct. Pam accidentally found the perimeter of the canvas.
The area of a rectangle is 48 square meters, and its length is 8 meters. What is the width of the rectangle?
6 meters
What is the alternative formula for finding the volume of a rectangular prism? Original: (V = l x w x h)
V = Bh
V = B (Base) x h (height)
A tennis court has different dimensions for singles and doubles games. The singles court measures 9 meters by 24 meters. The doubles court measures 11 meters by 24 meters. In square meters, what is the area of the singles court and the doubles court?
Singles Court Doubles Court
Area = length x width Area = length x width
Area = 24 m x 9 m Area = 24 m x 11 m
Area = 216 m2 Area = 264 m2
What are the values for the length and width of the figure below with an area of 405 cubic meters?
A. Length: 47 m; Width 6 m
B. Length: 32 m; Width 7 m
C. Length: 27 m; Width 8 m
D. Length: 45 m; Width: 9 m
D. Length: 45 m; Width: 9 m
A rectangle has an area of 54 square meters. If one side is 3 meters longer than the other side, what are the lengths of the two sides?
6 meters and 9 meters