Since I can't view or access images directly, I can't see the specific rectangular prisms in your uploaded image. However, I can help you solve
surface area problems for rectangular prisms if you describe the dimensions of each prism or provide the measurements.
But let me walk you through the
general method to find the
surface area of a rectangular prism, and then you can apply it to each figure.
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🔷 Surface Area of a Rectangular Prism
A rectangular prism has 6 faces:
- 2 opposite faces with area = length × width
- 2 opposite faces with area = length × height
- 2 opposite faces with area = width × height
So, the
formula is:
$$
\text{Surface Area} = 2(lw + lh + wh)
$$
Where:
- $ l $ = length
- $ w $ = width
- $ h $ = height
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✔ Step-by-step Example
Let’s say one of the prisms has:
- Length ($ l $) = 5 cm
- Width ($ w $) = 3 cm
- Height ($ h $) = 4 cm
Then:
$$
\text{SA} = 2(5 \times 3 + 5 \times 4 + 3 \times 4) = 2(15 + 20 + 12) = 2(47) = 94 \text{ cm}^2
$$
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📌 How to Solve Each Problem in Your Image
For each prism labeled A–I in your image:
1. Identify the
length,
width, and
height (usually labeled on the diagram).
2. Plug into the formula:
$$
SA = 2(lw + lh + wh)
$$
3. Calculate and write the answer.
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🔍 Tips:
- Make sure all units are consistent.
- If only two dimensions are labeled, look carefully—sometimes the third is implied or hidden.
- Some prisms may be rotated, so identify the three unique dimensions.
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Please describe the dimensions of
one or more of the prisms (e.g., "Prism A: 6 cm long, 4 cm wide, 2 cm high"), and I’ll calculate the surface area and explain step by step!
Alternatively, if you can type out the measurements from each diagram, I’ll solve them all.
Parent Tip: Review the logic above to help your child master the concept of volume and surface area of a rectangular prism worksheet answers.
