Defining Volume
Area
Calculating Volume
Solving for Volume
Word Problems
100
True or False: Volume is the amount of space that an object takes up.
True.
100
What is the area of this rectangle?
3 x 5 = 15 cm2
100
What is a right rectangular prism?
Give 3 examples.
A right rectangular prism has two parallel end faces and four lateral faces, each one of which is a rectangle; the faces are perpendicular to each of its bases.
100
A rectangular prism has a volume of 30 ft3. What are possible dimensions for this prism?
5ft x 3ft x 2ft
100
Why would filling a box with marbles and filling the same box with cubes be different amounts?
Sample answer:
They are different sizes and shapes. Marbles don't fit together as nicely as cubes.
200
Volume is measured in
A. Lines
B. Squared units
C. Cubic units
C
200
What is the relationship between area and volume?
volume = area x height
200
I made a tower in the shape of a rectangular prism out of blocks. The length was 8 in, width was 2 in, and height was 4 in. What was the volume of the figure?
SHOW EQUATION
8x2x4 = 64 cubic inches
200
A rectangular prism has a volume of 60 cm3. The length of the prism is 5 cm and the width is 3 cm. What is the height of the prism?
4 cm
200
A cube has a width of 7 in. What is the volume?
343 in3
300
Put the following objects in order from smallest to biggest based on volume:
Bathtub
Box of 10 crayons
Mailbox
Swimming Pool
Box of 10 crayons
Mailbox
Bathtub
Swimming Pool
300
1. What is the area of this rectangle?
2. If the height is 2 cm, what is the volume?
5 x 8 = 40 cm2
40 x 2 = 80 cm3
300
What is the volume of this figure?
6 x 3 x 4 = 72 cm3
300
A rectangular prism has a volume of 36 cm3. The height of the prism is 6 cm and the width is 2 cm. What is the length of the prism?
3 cm
300
Joseph has a new rectangular aquarium. The aquarium has a length of four feet, a width of two feet, and a height of two feet. What is the volume of Joseph's new aquarium?
16ft3
400
How would 45 ft be expressed in terms of volume?
45 ft3
400
Which ONE of the following demonstrates area and which ONE demonstrates volume?
- a kleenex box
- the top of a desk
- a line
The top of a desk (area)
Kleenex box (volume)
400
A box is 9 inches by 11 inches by 8 inches. What is the volume of the box?
792 cubic inches
400
What is the volume of this prism?
SHOW EQUATION
4 x 6 x 3 = 72 units3
400
A storage shed is a rectangular prism and has dimensions of 6 meters by 5 meters by 12 meters. If Jean were to double these dimensions, she believes she would only double the volume. Is she correct?
NO
5 x 6 x 12 = 360m3
*Doubled= 720m3*
10 x 12 x 24 = 2,880m3
500
What are the two formulas used to solve for volume?
base x width x height
area x height
500
SHOW EQUATIONS & ANSWERS
1. What is the area of this rectangle?
2. If the height is 15 cm, what is the volume?
5 x 3 = 15 cm2
15 x 15 = 225 cm3
500
What is the volume of this prism?
12 x 6 = 72 units3
500
What is the volume of this figure?
SHOW EQUATIONS
A = 4 x 6 x 2 = 48
B = 4 x 3 x 2 = 24
48 + 24 = 72 cm3
500
Miss. B is filling in the shelfs of her book case!! The area of the base of the shelf is 12in2 and is 5in tall.
She has 3 books with the following dimensions:
Book #1: 4 x 2 x 1
Book #2: 2 x 3 x 4
Book #3: 6 x 2 x 3
Will all the books fit? If not, which combination of books could fit on the shelf?
Shelf Volume : 60in3
Book #1: 8in3
Book #2: 24in3
Book #3: 36in3