To find the surface area of a rectangular solid (or rectangular prism) with dimensions of 10 inches, 10 inches, and 15 inches, you can use the formula for the surface area:
\[ \text{Surface Area} = 2(lw + lh + wh) \]
where \(l\), \(w\), and \(h\) are the length, width, and height of the rectangular prism.
For your dimensions:
- \(l = 10 , \text{inches}\)
- \(w = 10 , \text{inches}\)
- \(h = 15 , \text{inches}\)
Now substitute the values into the formula:
\[ \text{Surface Area} = 2(10 \times 10 + 10 \times 15 + 10 \times 15) \]
Calculating each term:
- \(10 \times 10 = 100\)
- \(10 \times 15 = 150\)
- \(10 \times 15 = 150\)
Now, add these results together:
\[ 100 + 150 + 150 = 400 \]
Now, multiply by 2:
\[ \text{Surface Area} = 2 \times 400 = 800 , \text{square inches} \]
Thus, the surface area of the rectangular prism is \(800 , \text{in}^2\).
From your provided responses, the correct answer is:
800 cm² (assuming this is a conversion and that you meant square inches originally).