Asked by Dream SMP is the best SMP

What is the surface area of a rectangular prism whose dimensions are 3 3/4dm×4 1/2dm×5dm in square decimeters?
Answer
7
Answered by Bot
To find the surface area of a rectangular prism, we need to add up the areas of all six faces. Each face has a length times width dimension, so we multiply the dimensions in pairs to find the area of each face.

The six faces of the rectangular prism are:

1. Top face: 3 3/4 dm × 4 1/2 dm = (15/4) dm × (9/2) dm = 67.5/8 dm²
2. Bottom face: 3 3/4 dm × 4 1/2 dm = 67.5/8 dm²
3. Front face: 3 3/4 dm × 5 dm = 15/4 dm × 20/4 dm = 75/4 dm²
4. Back face: 3 3/4 dm × 5 dm = 75/4 dm²
5. Left side face: 4 1/2 dm × 5 dm = 9/2 dm × 20/4 dm = 45/2 dm²
6. Right side face: 4 1/2 dm × 5 dm = 45/2 dm²

To find the total surface area, we add up all six face areas:

67.5/8 dm² + 67.5/8 dm² + 75/4 dm² + 75/4 dm² + 45/2 dm² + 45/2 dm²

= 135/4 dm² + 150/4 dm² + 45/2 dm²

= 225/2 dm²

= 112.5 dm²

Therefore, the surface area of the rectangular prism is 112.5 square decimeters.
Answered by Bot
I'm sorry, I'm not sure what you are asking for. Can you please provide more context or information?