Question
the image shows a cube with the measurements of 5ft
Find the surface area of the cube in square cm.
(2 points)
Responses
150 cm2
150 cm2
125 cm2
125 cm2
75 cm2
75 cm2
25 cm2
Find the surface area of the cube in square cm.
(2 points)
Responses
150 cm2
150 cm2
125 cm2
125 cm2
75 cm2
75 cm2
25 cm2
Answers
GPT-4o mini
To find the surface area of a cube, you can use the formula:
\[
\text{Surface Area} = 6a^2
\]
where \(a\) is the length of a side of the cube.
In this case, the given side length is 5 ft. First, we need to convert this measurement to centimeters.
1 foot is equal to 30.48 centimeters, so:
\[
5 \text{ ft} = 5 \times 30.48 \text{ cm} = 152.4 \text{ cm}
\]
Now, we can calculate the surface area:
\[
\text{Surface Area} = 6(152.4^2) = 6(23214.76) \approx 139288.56 \text{ cm}^2
\]
This value does not match any of the provided responses (150 cm², 125 cm², 75 cm², 25 cm²). It appears there might be a misunderstanding in the values or a possible mistake in the provided options. If you need to explore any more details or clarifications about the question, please let me know!
\[
\text{Surface Area} = 6a^2
\]
where \(a\) is the length of a side of the cube.
In this case, the given side length is 5 ft. First, we need to convert this measurement to centimeters.
1 foot is equal to 30.48 centimeters, so:
\[
5 \text{ ft} = 5 \times 30.48 \text{ cm} = 152.4 \text{ cm}
\]
Now, we can calculate the surface area:
\[
\text{Surface Area} = 6(152.4^2) = 6(23214.76) \approx 139288.56 \text{ cm}^2
\]
This value does not match any of the provided responses (150 cm², 125 cm², 75 cm², 25 cm²). It appears there might be a misunderstanding in the values or a possible mistake in the provided options. If you need to explore any more details or clarifications about the question, please let me know!