Question

what is the volume? 12.1 ft 11.9 ft 15.4 ft blank cubic feet submit

Explanation:

Step1: Identify the shape (triangular prism)

The figure is a triangular prism. The volume of a triangular prism is given by the formula \( V = \frac{1}{2} \times \text{base} \times \text{height of triangle} \times \text{length of prism} \). Here, the base of the triangle is \( 11.9 \) ft, the height of the triangle is \( 12.1 \) ft, and the length of the prism is \( 15.4 \) ft.

Step2: Calculate the area of the triangular base

First, calculate the area of the triangular base using \( A = \frac{1}{2} \times \text{base} \times \text{height} \).
\( A = \frac{1}{2} \times 11.9 \times 12.1 \)
\( A = \frac{1}{2} \times 143.99 \)
\( A = 71.995 \) square feet.

Step3: Calculate the volume of the prism

Now, multiply the area of the base by the length of the prism (15.4 ft) to get the volume.
\( V = 71.995 \times 15.4 \)
\( V = 1108.723 \) cubic feet.

Answer:

\( 1108.723 \)