Defining Volume
Area
Simple Volume
Composite Volume
Worded Volume
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
The volume of a shape with a face of 2 cm2 and height of 3 cm
6 cm3
100
The area of the face of a triangular prism, with a height of 3 cm and a base of 5 cm. The prism has a depth of 10 cm.
3 x 5 = 15 cm2
100
The area of the face of a parallelogram prism, with a height of 4 m and 3 m. The prism has a depth of 5 m.
4 x 3 = 12 m2
200
Volume is measured in
A. Lines
B. Squared units
C. Cubic units
C
200
What is the formula for the area of a rectangle?
Area = length x width
200
I made a tower in the shape of a rectangular prism out of blocks. The length was 8 cm, width was 2 cm, and height was 4 cm. What was the volume of the figure?
8x2x4 = 64 cm3
200
The volume of a shape that has a face area of 5 m2 and 4 m high.
5 x 4 = 20 m3
200
The volume of a shape that has a face area of 11 m2 and 3 m high.
11 x 3 = 33 m3
300
The formula for the volume of a rectangular prism is:
volume = base x height x Height
V = b x h x H
300
What is the area of this rectangle?
5 x 8 = 40 cm2
300
What is the volume of this figure?
6 x 3 x 4 = 72 cm3
300
Erin built a wooden box to hold hay on her farm. The box is 3 meters long, 2 meter wide and 1 meter high.
Hay costs $10 per cubic meter.
How much will it cost to completely fill the box with hay?
The volume of the box is 6 m3. Hay is $10 per cubic meter.
6 x $10 = $60
300
The base of a prism is a trapezoid whose height is 10 m. The parallel bases of the trapezoid measure 15 m and 14 m. If the length of the prism is 6 m, find its volume.
870 m3
400
How do we write the units for volume
mm3 cm3 m3
400
Which ONE of the following demonstrates area?
- a kleenex box
- the top of a desk
- a line
The top of a desk
400
A box is 9 cm by 11 cm by 8 cm. What is the volume of the box?
792 cm3
400
A pool is filled with 300 cubic meters of water.
The base of the pool is 15 meters long and 10 meters wide.
What is the height of the water in the pool?
15 x 10 x h = 300
150 x h = 300
height = 2 meters
400
I made a fort by connecting two boxes.
The first box is 5 meters long, 9 meters wide, and 10 meters high.
The second box is 3 meters long, 8 meters wide, and 2 meters high.
How many cubic meters of space does my fort have?
(5 x 9 x 10) + (3 x 8 x 2)
450 + 48
498 m3
500
True or False: Another formula for volume is Area x height.
True
500
What is the area of a rectangle with a length of 2cm and a width of 4 cm?
2 x 4 = 8 cm2
500
What is the volume of a shape with a rectangular face with base of 3 and height of 4. The shape is 6 units deep.
3 x 4 x 6 = 72 units3
500
What is the volume of this figure?
A = 4 x 6 x 2 = 48
B = 4 x 3 x 2 = 24
48 + 24 = 72 cm3
500
What is the volume of this prism?
4 x 6 x 3 = 72 units3