Calculate Volume of 5×(5,6,8) Meter Cuboid Assembly: Composite Structure Problem

To solve this problem, we'll follow these steps:

• Step 1: Identify the volume formula and apply the given dimensions
• Step 2: Calculate the total volume by considering the number of orthohedra

Let's proceed:

Step 1: For a single orthohedron with dimensions of 5 meters, 6 meters, and 8 meters, the volume is calculated using:

$\text{Volume of one orthohedron} = 5 \times 6 \times 8$

This equates to $5 \times 6 = 30$, and then $30 \times 8 = 240$. Therefore, the volume of one orthohedron is $240 \, \text{cubic meters}$.

Step 2: Since there are five such orthohedra forming the complete body, multiply the volume of one by 5:

$\text{Total volume} = 5 \times 240 = 1200 \, \text{cubic meters}$

Thus, the total volume of the created body is $1200 \, \text{cubic meters}$.

The correct choice that corresponds to this volume is:

• $1200 \, \text{cubic meters}$

Therefore, the solution to the problem is $1200$.