Calculate Rectangular Prism Volume: 15 m² Base Area with 3 m Height

Question

The area of the base of the rectangular prism below is 15 m².

The length of the lateral edge is equal to 3 m².

What is the volume of the rectangular prism?

S=15S=15S=15333

Video Solution

Step-by-Step Solution

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

  • Step 1: Identify the given information
  • Step 2: Apply the appropriate volume formula
  • Step 3: Perform the necessary calculations

Let's work through each step:
Step 1: We know that the area of the base S S is 15 m², and the height h h is 3 m.
Step 2: We'll use the formula for the volume of a rectangular prism: V=S×h V = S \times h .
Step 3: Plugging in the values, we have V=15×3 V = 15 \times 3 .

Calculating this gives us V=45 V = 45 m³.

Therefore, the volume of the rectangular prism is 45m3 45 \, \text{m}^3 .

Answer

45