Volume of a Rectangular Prism: 17 x 11 x 7.5
Calculating the Volume
The volume of a rectangular prism can be calculated by multiplying the length, width, and height of the prism. In this case, we have a prism with a length of 17 units, a width of 11 units, and a height of 7.5 units.
The Formula
The formula to calculate the volume of a rectangular prism is:
V = l × w × h
Where:
- V is the volume of the prism
- l is the length of the prism
- w is the width of the prism
- h is the height of the prism
Calculating the Volume
Now, let's plug in the values into the formula:
V = 17 × 11 × 7.5
V = 1447.5
So, the volume of the rectangular prism is 1447.5 cubic units.
Real-World Applications
Calculating the volume of a rectangular prism has many real-world applications, such as:
- ** Architecture**: Calculating the volume of a building or a room to determine the amount of materials needed for construction.
- Engineering: Calculating the volume of a tank or a container to determine its capacity.
- Shipping: Calculating the volume of a package or a shipment to determine the shipping cost.
In conclusion, calculating the volume of a rectangular prism is an important mathematical concept with many practical applications. By using the formula V = l × w × h, we can easily calculate the volume of a prism and solve problems in various fields.
