Question
the image shows a cube with the measurements of 5ft for each side of the the squares the cube is made of.
Find the surface area of the cube in square cm.
(2 points)
Responses
150 cm2
125 cm2
75 cm2
25 cm2
Find the surface area of the cube in square cm.
(2 points)
Responses
150 cm2
125 cm2
75 cm2
25 cm2
Answers
GPT-4o mini
To find the surface area of a cube, use the formula:
\[
\text{Surface Area} = 6 \times (\text{side length})^2
\]
Given that each side of the cube measures 5 feet, we first need to convert this measurement into centimeters.
1 foot is equal to 30.48 cm, so:
\[
5 \text{ feet} = 5 \times 30.48 \text{ cm} = 152.4 \text{ cm}
\]
Now we can calculate the surface area:
\[
\text{Surface Area} = 6 \times (152.4 \text{ cm})^2
\]
Calculating \((152.4)^2\):
\[
152.4^2 = 23234.76 \text{ cm}^2
\]
Now multiply by 6:
\[
\text{Surface Area} = 6 \times 23234.76 \text{ cm}^2 = 139408.56 \text{ cm}^2
\]
So, the surface area of the cube is approximately 139,408.56 cm². However, none of the response options you provided match this calculation, suggesting a possible misunderstanding of the problem. If you need a different dimension or context or perhaps the measurements given (e.g., the unit or scale) are incorrect, please clarify, and I can help you further!
If you specifically need the surface area in square centimeters using any of the provided responses, please note that conversion or an adjustment in the problem may be required.
\[
\text{Surface Area} = 6 \times (\text{side length})^2
\]
Given that each side of the cube measures 5 feet, we first need to convert this measurement into centimeters.
1 foot is equal to 30.48 cm, so:
\[
5 \text{ feet} = 5 \times 30.48 \text{ cm} = 152.4 \text{ cm}
\]
Now we can calculate the surface area:
\[
\text{Surface Area} = 6 \times (152.4 \text{ cm})^2
\]
Calculating \((152.4)^2\):
\[
152.4^2 = 23234.76 \text{ cm}^2
\]
Now multiply by 6:
\[
\text{Surface Area} = 6 \times 23234.76 \text{ cm}^2 = 139408.56 \text{ cm}^2
\]
So, the surface area of the cube is approximately 139,408.56 cm². However, none of the response options you provided match this calculation, suggesting a possible misunderstanding of the problem. If you need a different dimension or context or perhaps the measurements given (e.g., the unit or scale) are incorrect, please clarify, and I can help you further!
If you specifically need the surface area in square centimeters using any of the provided responses, please note that conversion or an adjustment in the problem may be required.