Question

Calculate the volume of the given figure. Use 3.14 for pi.
4 ft
7 ft
4 ft
Question content area bottom
Part 1
The volume of the solid figure shown in the drawing is approximately
  
enter your response here ftcubed.
​(Round to two decimal places as​ needed.)

Answer 1

To calculate the volume of the solid figure described, we need to establish what type of solid it is. Given the dimensions of 4 ft, 7 ft, and another 4 ft, we can assume this to be a rectangular prism with dimensions \( 4 \, \text{ft} \times 7 \, \text{ft} \times 4 \, \text{ft} \).

The formula for the volume \( V \) of a rectangular prism is:
\[
V = \text{length} \times \text{width} \times \text{height}
\]

Using the given dimensions:
- Length = 7 ft
- Width = 4 ft
- Height = 4 ft

Now, we can calculate the volume:
\[
V = 7 \, \text{ft} \times 4 \, \text{ft} \times 4 \, \text{ft}
\]
\[
V = 7 \times 4 = 28
\]
\[
V = 28 \times 4 = 112
\]

Thus, the volume of the solid figure is:
\[
V = 112 \, \text{ft}^3
\]

Since the question requests the response rounded to two decimal places:
\[
\text{Volume} \approx 112.00 \, \text{ft}^3
\]

The final answer is:
\[
\boxed{112.00} \, \text{ft}^3
\]