To find the volume of the prism, we need to ensure that all dimensions are converted to the same units before performing any calculations. Here are the step-by-step instructions:
1. Dimensions given:
- Length = 3 meters
- Width = 0.5 decameters
- Height = 25 centimeters
2. Convert the width from decameters to meters:
- 1 decameter (dam) is equal to 10 meters.
- Width = 0.5 dam × 10 meters per dam = 5 meters
3. Convert the height from centimeters to meters:
- 1 centimeter (cm) is equal to 0.01 meters.
- Height = 25 cm × 0.01 meters per cm = 0.25 meters
4. Now, we have all dimensions in meters:
- Length = 3 meters
- Width = 5 meters
- Height = 0.25 meters
5. Calculate the volume of the prism:
- Volume = Length × Width × Height
- Volume = 3 meters × 5 meters × 0.25 meters = 3.75 cubic meters
So, the volume of the prism is 3.75 cubic meters.
