wikiHow Practice Problems to Calculate Volume in Liters To calculate the volume in liters, you need to know the dimensions of the object or space you are measuring. The formula to calculate volume varies depending on the shape of the object, such as a cube, sphere, cylinder, or rectangular prism. Once you have the formula for the specific shape, you can use it to calculate the volume in liters by converting your measurements from their original units to liters. Here are a few examples of how to calculate the volume in liters for some common shapes: Cube: If the length of each side of a cube is s units, the formula for the volume is V = s^3. To convert the volume to liters, you need to know the conversion factor from your original units to liters. For example, if the side length is measured in centimeters, the conversion factor is 1 liter = 1000 cm^3, so the volume in liters is V(liters) = s^3 / 1000. Sphere: If the radius of a sphere is r units, the formula for the volume is V = (4/3) * π * r^3. To convert the volume to liters, you need to know the conversion factor from your original units to liters. For example, if the radius is measured in centimeters, the conversion factor is 1 liter = 1000 cm^3, so the volume in liters is V(liters) = (4/3) * π * r^3 / 1000. Cylinder: If the height of a cylinder is h units and the radius of its base is r units, the formula for the volume is V = π * r^2 * h. To convert the volume to liters, you need to know the conversion factor from your original units to liters. For example, if the height and radius are measured in centimeters, the conversion factor is 1 liter = 1000 cm^3, so the volume in liters is V(liters) = π * r^2 * h / 1000. By using these formulas and conversion factors, you can calculate the volume in liters for any shape you are measuring. Practice Problems: 1. A cube has a side length of 10 cm. What is its volume in liters? 2. A sphere has a radius of 5 cm. What is its volume in liters? 3. A cylinder has a height of 15 cm and a radius of 6 cm. What is its volume in liters? 4. A swimming pool has a length of 25 meters, a width of 12 meters, and a depth of 2 meters. What is its volume in liters? 5. A water bottle has a volume of 500 ml. What is its volume in liters? 6. A cylindrical tank has a height of 1.5 meters and a radius of 0.5 meters. What is its volume in liters? Answer Key: 1. Solution: To find the volume in liters, use the formula for the volume of a cube: V = s^3. Then convert the volume from cubic centimeters to liters using the conversion factor of 1 liter = 1000 cm^3. V = 10 cm^3. V(liters) = V / 1000 = 10 cm^3 / 1000 = 0.01 liters 2. Solution: To find the volume in liters, use the formula for the volume of a sphere: V = (4/3) * π * r^3. Then convert the volume from cubic centimeters to liters using the conversion factor of 1 liter = 1000 cm^3. V = (4/3) * π * 5^3 = (4/3) * π * 125 = (4/3) * 3.14 * 125 = 523.33 cm^3. V(liters) = V / 1000 = 523.33 cm^3 / 1000 = 0.52333 liters 3. Solution: To find the volume in liters, use the formula for the volume of a cylinder: V = π * r^2 * h. Then convert the volume from cubic centimeters to liters using the conversion factor of 1 liter = 1000 cm^3. V = π * 6^2 * 15 = π * 36 * 15 = 540 cm^3. V(liters) = V / 1000 = 540 cm^3 / 1000 = 0.54 liters 4. Solution: To find the volume in liters, use the formula for the volume of a rectangular prism: V = l * w * h. Then convert the volume from cubic meters to liters using the conversion factor of 1 liter = 0.001 m^3. V = 25 m * 12 m * 2 m = 600 m^3. V(liters) = V / 0.001 = 600 m^3 / 0.001 = 600,000 liters 5. Solution: To find the volume in liters, convert the volume from milliliters to liters using the conversion factor of 1 liter = 1000 ml. V(liters) = 500 ml / 1000 = 0.5 liters 6. Solution: To find the volume in liters, use the formula for the volume of a cylinder: V = π * r^2 * h. Then convert the volume from cubic meters to liters using the conversion factor of 1 liter = 0.001 m^3. V = π * 0.5^2 * 1.5 = π * 0.25 * 1.5 = 0.375 m^3. V(liters) = V / 0.001 = 0.375 m^3 / 0.001 = 375 liters Page