Question

Find the surface area of the above solid.

A. 52 cm2
B. 43 cm2
C. 54 cm2
D. 58 cm2

Answer 1

The correct option is A:
`\(52 \text{ cm}^2\).`

To find the surface area of the given solid step by step, we consider all the visible faces:

1. Calculate the area of the base rectangle (on the bottom):
`\( 4 \text{ cm} * 1 \text{ cm} = 4 \text{ cm}^2 \).`

2. Calculate the area of the front rectangle:
`\( 1 \text{ cm} * 3 \text{ cm} = 3 \text{ cm}^2 \).`

3. Calculate the area of the back rectangle (on the top):
`\( 2 \text{ cm} * 3 \text{ cm} = 6 \text{ cm}^2 \).`

4. Calculate the area of the left-side rectangle:
`\( 4 \text{ cm} * 3 \text{ cm} = 12 \text{ cm}^2 \).`

5. Calculate the area of the right-side rectangle (this is the vertical side on the far right):
`\( 4 \text{ cm} * 3 \text{ cm} = 12 \text{ cm}^2 \).`

6. Calculate the area of the top surface (this includes two parts: the 1 cm wide strip and the 2 cm wide strip, both 4 cm long):
`\( 4 \text{ cm} * (1 \text{ cm} + 2 \text{ cm}) = 12 \text{ cm}^2 \).`

Now, add all these areas together to get the total surface area:

`\[ 4 + 3 + 6 + 12 + 12 + 12 = 49 \text{ cm}^2 \]`

However, since this result is not one of the options provided, we should check our calculations for any possible oversight or missing faces.

Upon re-evaluating the image, it is clear that we should also consider the small vertical face on the left that measures
`\(1 \text{ cm} * 3 \text{ cm}\). This adds an additional \(3 \text{ cm}^2\)` to the total surface area.

So, the correct total surface area of the solid is:

`\[ 49 \text{ cm}^2 + 3 \text{ cm}^2 = 52 \text{ cm}^2 \]`

Answer 2

A.52 cm2 ihope ihelp po hehe