Question
Right Rectangular Prisms & Pyramids Unit Test
3 of 153 of 15 Items
Question
What is the surface area of a right rectangular prism where each edge length measures 15.10 cm?(1 point)
Responses
8,208.36 cm2
8,208.36 cm squared
1,368.06 cm2
1,368.06 cm squared
900 cm2
900 cm squared
1,350 cm2
3 of 153 of 15 Items
Question
What is the surface area of a right rectangular prism where each edge length measures 15.10 cm?(1 point)
Responses
8,208.36 cm2
8,208.36 cm squared
1,368.06 cm2
1,368.06 cm squared
900 cm2
900 cm squared
1,350 cm2
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 \( l \), \( w \), and \( h \) are the lengths of the edges. In this case, since each edge length of the prism measures 15.10 cm, we can assume it is a cube where \( l = w = h = 15.10 \, \text{cm} \).
Substituting 15.10 cm into the formula:
\[
\text{Surface Area} = 2(15.10 \times 15.10 + 15.10 \times 15.10 + 15.10 \times 15.10)
\]
Simplifying this:
\[
= 2(3 \times 15.10^2)
\]
\[
= 2(3 \times 228.01) \quad (\text{since } 15.10^2 = 228.01)
\]
\[
= 2(684.03)
\]
\[
= 1368.06 \, \text{cm}^2
\]
Therefore, the surface area of the prism is **1,368.06 cm²**. The correct response is:
**1,368.06 cm²**
\[
\text{Surface Area} = 2(lw + lh + wh)
\]
where \( l \), \( w \), and \( h \) are the lengths of the edges. In this case, since each edge length of the prism measures 15.10 cm, we can assume it is a cube where \( l = w = h = 15.10 \, \text{cm} \).
Substituting 15.10 cm into the formula:
\[
\text{Surface Area} = 2(15.10 \times 15.10 + 15.10 \times 15.10 + 15.10 \times 15.10)
\]
Simplifying this:
\[
= 2(3 \times 15.10^2)
\]
\[
= 2(3 \times 228.01) \quad (\text{since } 15.10^2 = 228.01)
\]
\[
= 2(684.03)
\]
\[
= 1368.06 \, \text{cm}^2
\]
Therefore, the surface area of the prism is **1,368.06 cm²**. The correct response is:
**1,368.06 cm²**