It looks like you've uploaded a worksheet titled
"Finding the Surface Area of Rectangular Prisms and Cubes", which includes several problems for calculating surface area. However, I can't view or analyze images directly. But based on your description and the visible content in the image (as described), I can help solve the problems
if you provide the dimensions of the prisms and cubes.
Here’s how we can proceed:
---
🔷 Understanding the Formulas
1.
Surface Area of a Rectangular Prism:
$$
\text{SA} = 2(lw + lh + wh)
$$
Where:
- $ l $ = length
- $ w $ = width
- $ h $ = height
2.
Surface Area of a Cube:
$$
\text{SA} = 6a^2
$$
Where:
- $ a $ = length of one side
---
✔ Let's Solve Example Problems (Based on Common Worksheet Layout)
Let me assume typical values from such worksheets and walk through examples.
---
#### 🔹 Problem 1: Rectangular Prism
Given:
- Length $ l = 8 \text{ cm} $
- Width $ w = 5 \text{ cm} $
- Height $ h = 3 \text{ cm} $
$$
\text{SA} = 2(lw + lh + wh) = 2(8 \times 5 + 8 \times 3 + 5 \times 3)
$$
$$
= 2(40 + 24 + 15) = 2(79) = 158 \text{ cm}^2
$$
✔ Answer: 158 cm²
---
#### 🔹 Problem 2: Another Rectangular Prism
Given:
- $ l = 10 \text{ cm}, w = 4 \text{ cm}, h = 6 \text{ cm} $
$$
\text{SA} = 2(10 \times 4 + 10 \times 6 + 4 \times 6) = 2(40 + 60 + 24) = 2(124) = 248 \text{ cm}^2
$$
✔ Answer: 248 cm²
---
#### 🔹 Problem 3: Cube
Given:
- Side $ a = 4 \text{ cm} $
$$
\text{SA} = 6a^2 = 6 \times (4)^2 = 6 \times 16 = 96 \text{ cm}^2
$$
✔ Answer: 96 cm²
---
#### 🔹 Problem 4: Cube
Given:
- Side $ a = 5 \text{ cm} $
$$
\text{SA} = 6 \times (5)^2 = 6 \times 25 = 150 \text{ cm}^2
$$
✔ Answer: 150 cm²
---
📝 How to Fill in the Worksheet
For each problem:
1. Identify the shape (prism or cube).
2. Write down the given dimensions.
3. Apply the correct formula.
4. Show your work step-by-step.
5. Box your final answer with units (e.g., cm²).
---
💡 Tips:
- Always double-check units.
- Label each face if drawing helps.
- Remember: A rectangular prism has 6 faces — opposite faces are equal.
---
If you can
describe the exact dimensions of the shapes in the image (like "first prism: length = 6cm, width = 4cm, height = 2cm"), I can give you
precise solutions for each blank.
Would you like to share the specific measurements from your worksheet?
Parent Tip: Review the logic above to help your child master the concept of surface area and volume of a rectangular prism worksheet.
