To find the volume of the composite figure, we need to calculate the volumes of both the cube and the rectangular prism separately, then add them together.
Volume of the cube: The formula for the volume of a cube is: \[ V_{\text{cube}} = s^3 \] where \(s\) is the length of a side.
For the cube: \[ s = 5 \text{ feet} \] \[ V_{\text{cube}} = 5^3 = 125 \text{ ft}^3 \]
Volume of the rectangular prism: The formula for the volume of a rectangular prism is: \[ V_{\text{prism}} = l \times w \times h \] where \(l\) is the length, \(w\) is the width, and \(h\) is the height.
For the prism:
- Length \(l = 1.5 \text{ feet}\)
- Width \(w = 5 \text{ feet}\) (same as the side of the cube)
- Height \(h = 2 \text{ feet}\)
Now we can calculate the volume: \[ V_{\text{prism}} = 1.5 \times 5 \times 2 = 15 \text{ ft}^3 \]
Total Volume of the composite figure: \[ V_{\text{total}} = V_{\text{cube}} + V_{\text{prism}} = 125 \text{ ft}^3 + 15 \text{ ft}^3 = 140 \text{ ft}^3 \]
The total volume of the composite figure is 140 ft³.
So the correct response is: 140 ft³