The surface area of this rectangular prism is 58 square metres. What is the volume?


To determine the volume of the rectangular prism, we'll need the dimensions of the prism. Since you mentioned that the surface area is 58 square meters, we can use the surface area formula for a rectangular prism to reverse-engineer the dimensions if any of them are given. 

The surface area \(A\) of a rectangular prism is given by:

\[
A = 2(lw + lh + wh)
\]

Where:
- \(l\) is the length
- \(w\) is the width
- \(h\) is the height

You mentioned that the surface area is 58 square meters. However, to find the volume, \(V\), we use:

\[
V = l \times w \times h
\]

Could you please provide the dimensions (length, width, height), or at least two of them, so I can help calculate the volume?

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Would you like more details or have any questions?

Here are five relative questions:
1. Do you know any of the dimensions of the rectangular prism?
2. How does changing the surface area affect the volume?
3. What are the relationships between surface area and volume in other 3D shapes?
4. What happens to the volume if all dimensions are doubled?
5. How would you find the volume if the prism had a triangular base?

**Tip**: When solving problems involving both surface area and volume, knowing at least some dimensions is essential since many different prisms can have the same surface area but different volumes.

The surface area of this rectangular prism is 58 square metres. What is the volume?

Learn how to calculate the volume of a rectangular prism when the surface area is 58 square meters. Explore key geometric formulas such as surface area and volume calculations, suitable for students in Grades 6-8.

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