Question

Question
What is the surface area of this figure?

a rectangle with sides that are 8cm 5 cm 2cm

(1 point)
Responses

80 cm2
80 cm2

15 cm2
15 cm2

238 cm2
238 cm2

132 cm2

Answer 1

To find the surface area of the figure, it seems there may be some confusion. The description mentions a rectangle with sides 8 cm, 5 cm, and 2 cm. However, a rectangle typically only has two dimensions (length and width), while the inclusion of "2 cm" suggests a three-dimensional figure, possibly a rectangular prism.

Let's clarify what we might calculate:

1. If you are looking for the area of a rectangle with the dimensions of 8 cm and 5 cm:
\[
\text{Area} = \text{length} \times \text{width} = 8 \, \text{cm} \times 5 \, \text{cm} = 40 \, \text{cm}^2
\]

2. If "2 cm" indicates the height of a rectangular prism (with a base of 8 cm and 5 cm), the surface area \(A\) can be calculated using the formula:
\[
A = 2lw + 2lh + 2wh
\]
where \(l = 8 \, \text{cm}\), \(w = 5 \, \text{cm}\), and \(h = 2 \, \text{cm}\).

- Calculate each area:
- \(2lw = 2 \times 8 \times 5 = 80 \, \text{cm}^2\)
- \(2lh = 2 \times 8 \times 2 = 32 \, \text{cm}^2\)
- \(2wh = 2 \times 5 \times 2 = 20 \, \text{cm}^2\)

- Adding these together:
\[
A = 80 + 32 + 20 = 132 \, \text{cm}^2
\]

Therefore, based on the given dimensions for a rectangular prism, the surface area is **132 cm²**.

So the correct response is:
**132 cm²**.