What is the surface area of this figure?

Question

5cm,2cm,8cm are all the measurements
(1 point)
Responses

80 cm2
80 cm2

15 cm2
15 cm2

238 cm2
238 cm2

132 cm2
132 cm2
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Answer 1

To determine the surface area, we first need to know the shape of the figure that the measurements correspond to. The given dimensions (5 cm, 2 cm, and 8 cm) suggest that it could be a rectangular prism (or cuboid).

Let's assume the dimensions are the length, width, and height of a rectangular prism. The formula for the surface area $S$ of a rectangular prism is:

$$S=2(lw+lh+wh)$$

where:

• $l$ is the length (8 cm),
• $w$ is the width (5 cm),
• $h$ is the height (2 cm).

Plugging the values into the formula:

1. Calculate the area of each pair of dimensions:

   • $lw=8\times 5=40$ cm²
   • $lh=8\times 2=16$ cm²
   • $wh=5\times 2=10$ cm²

2. Add these areas: $$lw+lh+wh=40+16+10=66{\text{ cm}}^2$$

3. Multiply by 2: $$S=2\times 66=132{\text{ cm}}^2$$

Thus, the surface area of the figure is 132 cm².

Therefore, the correct answer is 132 cm².