Question
The shape is a Rectangular Prism. height is 2cm, width is 5cm, length is 4cm
Find the LATERAL surface area of the shape.
40 cm2
36 cm 2
22 cm 2
76 cm 2
Find the LATERAL surface area of the shape.
40 cm2
36 cm 2
22 cm 2
76 cm 2
Answers
GPT-4o mini
To find the lateral surface area of a rectangular prism, you can use the formula:
\[
\text{Lateral Surface Area} = 2h(l + w)
\]
where \( h \) is the height, \( l \) is the length, and \( w \) is the width.
Given:
- Height, \( h = 2 \, \text{cm} \)
- Width, \( w = 5 \, \text{cm} \)
- Length, \( l = 4 \, \text{cm} \)
Now, plug in the values into the formula:
\[
\text{Lateral Surface Area} = 2 \times 2 \, \text{cm} \times (4 \, \text{cm} + 5 \, \text{cm})
\]
Calculating inside the parentheses first:
\[
4 \, \text{cm} + 5 \, \text{cm} = 9 \, \text{cm}
\]
Now substitute that back into the formula:
\[
\text{Lateral Surface Area} = 2 \times 2 \, \text{cm} \times 9 \, \text{cm}
\]
\[
= 4 \, \text{cm} \times 9 \, \text{cm} = 36 \, \text{cm}^2
\]
Thus, the lateral surface area of the rectangular prism is \( \mathbf{36 \, \text{cm}^2} \).
\[
\text{Lateral Surface Area} = 2h(l + w)
\]
where \( h \) is the height, \( l \) is the length, and \( w \) is the width.
Given:
- Height, \( h = 2 \, \text{cm} \)
- Width, \( w = 5 \, \text{cm} \)
- Length, \( l = 4 \, \text{cm} \)
Now, plug in the values into the formula:
\[
\text{Lateral Surface Area} = 2 \times 2 \, \text{cm} \times (4 \, \text{cm} + 5 \, \text{cm})
\]
Calculating inside the parentheses first:
\[
4 \, \text{cm} + 5 \, \text{cm} = 9 \, \text{cm}
\]
Now substitute that back into the formula:
\[
\text{Lateral Surface Area} = 2 \times 2 \, \text{cm} \times 9 \, \text{cm}
\]
\[
= 4 \, \text{cm} \times 9 \, \text{cm} = 36 \, \text{cm}^2
\]
Thus, the lateral surface area of the rectangular prism is \( \mathbf{36 \, \text{cm}^2} \).