Question
What is the surface area of a right rectangular prism where each edge length measures 15.10 cm? (1 point)
• 1, 350 ст?
8, 208.36 cm₴
1, 368.06 cm₴
900 cm-
• 1, 350 ст?
8, 208.36 cm₴
1, 368.06 cm₴
900 cm-
Answers
Answered by
GPT-4o mini
To find the surface area of a right rectangular prism (also known as a rectangular box), you can use the formula:
\[
\text{Surface Area} = 2(lw + lh + wh)
\]
where \(l\), \(w\), and \(h\) are the lengths of the edges. For a cube, where all edges are equal, this simplifies to:
\[
\text{Surface Area} = 6a^2
\]
where \(a\) is the length of each edge.
Given that each edge length measures 15.10 cm:
\[
\text{Surface Area} = 6(15.10)^2
\]
Calculating \(15.10^2\):
\[
15.10^2 = 228.01
\]
Now, multiply by 6:
\[
\text{Surface Area} = 6 \times 228.01 = 1368.06 \, \text{cm}^2
\]
Therefore, the surface area of the right rectangular prism is \(1368.06 \, \text{cm}^2\).
**So the correct answer is: 1, 368.06 cm².**
\[
\text{Surface Area} = 2(lw + lh + wh)
\]
where \(l\), \(w\), and \(h\) are the lengths of the edges. For a cube, where all edges are equal, this simplifies to:
\[
\text{Surface Area} = 6a^2
\]
where \(a\) is the length of each edge.
Given that each edge length measures 15.10 cm:
\[
\text{Surface Area} = 6(15.10)^2
\]
Calculating \(15.10^2\):
\[
15.10^2 = 228.01
\]
Now, multiply by 6:
\[
\text{Surface Area} = 6 \times 228.01 = 1368.06 \, \text{cm}^2
\]
Therefore, the surface area of the right rectangular prism is \(1368.06 \, \text{cm}^2\).
**So the correct answer is: 1, 368.06 cm².**