To find the surface area of the rectangular prism shown in the image, we use the formula for the surface area of a rectangular prism:

$\text{Surface Area} = 2(lw + lh + wh)$

where:

• $l = 10 \, \text{in}$ (length)
• $w = 6 \, \text{in}$ (width)
• $h = 6 \, \text{in}$ (height)

Substituting the values:

$\text{Surface Area} = 2(10 \times 6 + 10 \times 6 + 6 \times 6)$

$= 2(60 + 60 + 36)$

$= 2 \times 156$

$= 312 \, \text{in}^2$

So, the surface area of the rectangular prism is 312 square inches.

Would you like more details or have any questions?

Here are some related questions:

1. How do you find the surface area of a cylinder?
2. What is the formula for the volume of a rectangular prism?
3. How does the surface area change if one dimension is doubled?
4. How do you calculate the surface area of irregular shapes?
5. What is the relationship between surface area and volume?

Tip: When finding the surface area, ensure you include all faces of the 3D shape to avoid calculation errors.