https://file.aiquickdraw.com/mathbot/file/1730096831339va5dwshh.jpg

can you find the SA of the rectangular prisim? (the lenght is 4in, the width is 6in, and the height is 10in)

To find the surface area (SA) of a rectangular prism, we can use the formula:

\[
SA = 2lw + 2lh + 2wh
\]

where:
- \( l = 4 \) inches (length),
- \( w = 6 \) inches (width), and
- \( h = 10 \) inches (height).

### Step-by-Step Calculation

1. **Calculate \( 2lw \):**
   \[
   2 \cdot 4 \cdot 6 = 48 \text{ square inches}
   \]

2. **Calculate \( 2lh \):**
   \[
   2 \cdot 4 \cdot 10 = 80 \text{ square inches}
   \]

3. **Calculate \( 2wh \):**
   \[
   2 \cdot 6 \cdot 10 = 120 \text{ square inches}
   \]

4. **Add these together:**
   \[
   SA = 48 + 80 + 120 = 248 \text{ square inches}
   \]

### Final Answer
The surface area of the rectangular prism is **248 square inches**.

Would you like further details, or do you have any additional questions?

---

Here are some related questions for further exploration:
1. How would the surface area change if the height were doubled?
2. What would the surface area be if the dimensions were halved?
3. How is the surface area affected if the prism is scaled up by a factor of 3?
4. What is the difference in surface area between a cube and a rectangular prism with the same volume?
5. Can you calculate the volume of this rectangular prism?

**Tip:** Remember, the surface area depends on the sum of the areas of all faces, while the volume depends on the product of length, width, and height.

Can you find the SA of the rectangular prism? (the length is 4in, the width is 6in, and the height is 10in)

Find the surface area of a rectangular prism with a length of 4 inches, width of 6 inches, and height of 10 inches. This problem demonstrates the use of surface area formulas for prisms, making it suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation