To determine the volumes of the prism, we need to identify the shapes and their dimensions based on the provided measurements.
Volume of the Larger Prism
Assuming the larger prism is a rectangular prism with a base measuring 5 ft by 5 ft and a height of 2 ft:
\[ \text{Volume of larger prism} = \text{Base Area} \times \text{Height} = (5 , \text{ft} \times 5 , \text{ft}) \times 2 , \text{ft} \] \[ \text{Volume of larger prism} = 25 , \text{ft}^2 \times 2 , \text{ft} = 50 , \text{cubic feet} \]
Volume of the Smaller Prism
Assuming the smaller prism has the same base dimensions (5 ft by 5 ft) but a height of 1.5 ft:
\[ \text{Volume of smaller prism} = \text{Base Area} \times \text{Height} = (5 , \text{ft} \times 5 , \text{ft}) \times 1.5 , \text{ft} \] \[ \text{Volume of smaller prism} = 25 , \text{ft}^2 \times 1.5 , \text{ft} = 37.5 , \text{cubic feet} \]
Total Volume of the Figure
To find the total volume, we sum the volumes of both prisms:
\[ \text{Total Volume} = \text{Volume of larger prism} + \text{Volume of smaller prism} \] \[ \text{Total Volume} = 50 , \text{cubic feet} + 37.5 , \text{cubic feet} = 87.5 , \text{cubic feet} \]
Summary of the Volumes
- Volume of the larger prism: 50 cubic feet
- Volume of the smaller prism: 37.5 cubic feet
- Total volume of the figure: 87.5 cubic feet