To calculate the volume of a right rectangular prism, you can use the formula:
\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]
From your description, it seems that we have a figure that is made up of two rectangular prisms (one in the front and one on the side). However, the dimensions you provided are a bit unclear, so I'll assume you're referring to a single prism with the following dimensions:
- Width (W) = 5 ft (this is presumably the width of the front prism)
- Height (H) = 3.5 ft (this is the height of the front prism)
- Length (L) = 2.5 ft (this is the width of the side prism)
Now, we can calculate the volume:
\[ \text{Volume} = L \times W \times H = 2.5 , \text{ft} \times 5 , \text{ft} \times 3.5 , \text{ft} \]
Calculating step by step:
-
First, calculate the area of the base: \[ \text{Area} = 5 \times 2.5 = 12.5 , \text{ft}^2 \]
-
Then, multiply by the height: \[ \text{Volume} = 12.5 \times 3.5 = 43.75 , \text{ft}^3 \]
Therefore, the volume of the right rectangular prism is:
\[ \text{Volume} = 43.75 , \text{ft}^3 \]
Among the given responses, the correct one is:
43.75 ft.³ or 43.75 ft. cubed.