Defining Volume
What is volume?
The amount of space an object occupies.
What is the formula for calculating the volume of a rectangular prism?
V = Length x Width x Height
To find the total volume of an object containing several shapes me must...
Determine the volume of each of its shapes and add them together.
What is the formula for calculating the volume of a triangular prism?
V = (Base x Height / 2) x Height
What is the formula for calculating the volume of a cylinder?
V = (Pi x Radius^2) x Height
Volume is measure in _____ Units.
Cubic (^3)
A cube has a side measurement of 21cm. What is the volume of the cube?
9261cm^3
Figure A's dimensions are: 8cm x 7cm x 6cm
Figure B's dimensions are: 3cm x 4cm x 10cm
What is the volume of the entire object?
456 cm^3
A triangular prism has a triangular face with the area of 10cm^2. And a length of 7cm.
What is the volume of this prism?
70cm^3
A cylinder has a circular face with the area of 21cm^2. And a length of 5cm.
What is the volume of the cylinder?
105cm^3.
What was our steps in calculating the volume of prisms? (Hint: There were 5)
1. Determine the named shape.
2. Lay out your formulas.
3. Calculate the Area of the base (named shape)
4. Multiply the area of the base by its height.
5. Don't forget units of measurement.
What is the volume of a rectangular prism that is 25cm long, 54cm tall, and 12cm wide?
16 200 cm^3
A cube has a side measurement of 11cm. What would the volume be if a solid shape had 5 cubes?
6 655 cm^3
A triangular prism has a base measurement of 10cm, a height of 4cm, and a length of 20cm.
What is the volume of the prism?
400cm^3
What is the Volume of a cylinder that has a diameter of 8cm. And is 10cm long?
502.4cm^3.
How do you calculate the volume of an object?
V = (Area of Base) x Height
The volume of a rectangular prism is 450cm^3 what could the dimensions of this prism be?
Dimensions must multiply to equal 450.
If the volume of the entire solid is 150 cm cubed. Prism A's dimensions are 5 x 6 x 3.
What could the dimensions of Prism B be?
Dimensions must multiply to equal 40cm^3.
A triangular prism has the volume of 144cm^3. With a height of 3cm, and a base of 8cm.
How long is the prism?
12cm.
A cylinder has a volume of 706.5cm^3. With a length of 25cm.
What is the radius of this cylinder?
3cm.