Question

What is the surface area of this figure?
A rectangle , 10in, 10in,15in

(1 point)
Responses

200 cm2
2
200 cm2

400 cm2
2
400 cm2

800 cm2
2
800 cm2

100 cm2

Answer 1

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).