Question

what is the volume? 14.8 m, 7.6 m, 18.4 m blank cubic meters submit

Explanation:

Step1: Identify the shape (triangular prism)

The figure is a triangular prism. The volume of a triangular prism is given by \( V = \text{Area of triangular base} \times \text{length of the prism} \).

Step2: Calculate the area of the triangular base

The triangular base has a base of \( 14.8 \, \text{m} \) and a height of \( 7.6 \, \text{m} \). The area of a triangle is \( A = \frac{1}{2} \times \text{base} \times \text{height} \).
So, \( A = \frac{1}{2} \times 14.8 \times 7.6 \)
\( A = 7.4 \times 7.6 \)
\( A = 56.24 \, \text{m}^2 \)

Step3: Multiply by the length of the prism

The length of the prism (the distance along the direction perpendicular to the triangular base) is \( 18.4 \, \text{m} \).
So, \( V = 56.24 \times 18.4 \)
\( V = 1034.816 \)

Answer:

\( 1034.816 \)