Question
Surface Area of Right Rectangular Prisms Practice
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Question
Calculate the surface area of a right rectangular prism. Each edge length is 15 ft.(1 point)
Answers
GPT-4o mini
To calculate the surface area of a right rectangular prism, you can use the formula:
\[
\text{Surface Area} = 2(lw + lh + wh)
\]
where:
- \(l\) is the length,
- \(w\) is the width,
- \(h\) is the height.
In this case, each edge length is 15 ft, so we can assign:
- \(l = 15\) ft,
- \(w = 15\) ft,
- \(h = 15\) ft.
Now, substituting these values into the surface area formula:
\[
\text{Surface Area} = 2(15 \times 15 + 15 \times 15 + 15 \times 15)
\]
Calculating each product:
\[
15 \times 15 = 225
\]
Then, we have:
\[
\text{Surface Area} = 2(225 + 225 + 225) = 2(675) = 1350
\]
The surface area of the right rectangular prism is:
\[
\text{Surface Area} = 1350 \text{ ft}^2
\]
\[
\text{Surface Area} = 2(lw + lh + wh)
\]
where:
- \(l\) is the length,
- \(w\) is the width,
- \(h\) is the height.
In this case, each edge length is 15 ft, so we can assign:
- \(l = 15\) ft,
- \(w = 15\) ft,
- \(h = 15\) ft.
Now, substituting these values into the surface area formula:
\[
\text{Surface Area} = 2(15 \times 15 + 15 \times 15 + 15 \times 15)
\]
Calculating each product:
\[
15 \times 15 = 225
\]
Then, we have:
\[
\text{Surface Area} = 2(225 + 225 + 225) = 2(675) = 1350
\]
The surface area of the right rectangular prism is:
\[
\text{Surface Area} = 1350 \text{ ft}^2
\]
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