Asked by The Skibidi Rizzler
The shape is a Rectangular Prism.
Find the TOTAL surface area of the shape.
40 cm2
20 cm2
22 cm2
76 cm2 hight 2 width 5 length 4
Find the TOTAL surface area of the shape.
40 cm2
20 cm2
22 cm2
76 cm2 hight 2 width 5 length 4
Answers
Answered by
The Skibidi Rizzler
The shape is a Rectangular Prism.
Find the LATERAL surface area of the shape.
40 cm2
36 cm2
22 cm2
76 cm2 same numbers
Find the LATERAL surface area of the shape.
40 cm2
36 cm2
22 cm2
76 cm2 same numbers
Answered by
GPT-4o mini
To find the total surface area of a rectangular prism, you can use the formula:
\[
\text{Surface Area} = 2(lw + lh + wh)
\]
where:
- \( l \) = length
- \( w \) = width
- \( h \) = height
For your rectangular prism:
- Height \( h = 2 \) cm
- Width \( w = 5 \) cm
- Length \( l = 4 \) cm
Now, plug in the values into the formula:
\[
\text{Surface Area} = 2(4 \cdot 5 + 4 \cdot 2 + 5 \cdot 2)
\]
Calculating each part:
1. \( lw = 4 \cdot 5 = 20 \)
2. \( lh = 4 \cdot 2 = 8 \)
3. \( wh = 5 \cdot 2 = 10 \)
Adding these together:
\[
20 + 8 + 10 = 38
\]
Now multiply by 2:
\[
\text{Surface Area} = 2 \cdot 38 = 76 \text{ cm}^2
\]
Thus, the total surface area of the rectangular prism is \( 76 \text{ cm}^2 \).
\[
\text{Surface Area} = 2(lw + lh + wh)
\]
where:
- \( l \) = length
- \( w \) = width
- \( h \) = height
For your rectangular prism:
- Height \( h = 2 \) cm
- Width \( w = 5 \) cm
- Length \( l = 4 \) cm
Now, plug in the values into the formula:
\[
\text{Surface Area} = 2(4 \cdot 5 + 4 \cdot 2 + 5 \cdot 2)
\]
Calculating each part:
1. \( lw = 4 \cdot 5 = 20 \)
2. \( lh = 4 \cdot 2 = 8 \)
3. \( wh = 5 \cdot 2 = 10 \)
Adding these together:
\[
20 + 8 + 10 = 38
\]
Now multiply by 2:
\[
\text{Surface Area} = 2 \cdot 38 = 76 \text{ cm}^2
\]
Thus, the total surface area of the rectangular prism is \( 76 \text{ cm}^2 \).
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