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Show Answer Key & Explanations Step-by-step solution for: Pin page
Since I can't view or access images directly, I can't see the specific figures you've uploaded. However, if your image contains rectangular prisms (boxes) and asks you to find the volume and surface area of each, I can help you solve it step by step based on typical problems like this.

Let me walk you through how to calculate volume and surface area for a rectangular prism (also called a cuboid), and then you can apply it to each figure.

---

🔷 General Formulas:



For a rectangular prism with:
- Length = $ l $
- Width = $ w $
- Height = $ h $

#### Volume:
$$
V = l \times w \times h
$$

#### Surface Area:
$$
SA = 2(lw + lh + wh)
$$

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Now, let’s assume your worksheet has 10 rectangular prisms labeled 1 to 10, each with given dimensions. Since I don’t have the image, I’ll make up an example for one figure and show you how to solve it. Then you can follow the same steps for the rest.

---

🔧 Example: Figure 1



Suppose Figure 1 is a rectangular prism with:
- Length = 40 cm
- Width = 30 cm
- Height = 20 cm

#### Step 1: Volume
$$
V = 40 \times 30 \times 20 = 24,000\ \text{cm}^3
$$

#### Step 2: Surface Area
$$
SA = 2(lw + lh + wh) = 2(40×30 + 40×20 + 30×20)
$$
$$
= 2(1200 + 800 + 600) = 2(2600) = 5200\ \text{cm}^2
$$

So, Volume = 24,000 cm³, Surface Area = 5200 cm²

---

📌 How to Solve All 10 Problems:



Go through each figure and:

1. Identify the length, width, and height.
2. Plug into the volume formula: $ V = lwh $
3. Plug into the surface area formula: $ SA = 2(lw + lh + wh) $
4. Write answers in correct units (e.g., cm³, cm²)

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💡 Tips:


- Make sure all dimensions are in the same unit before calculating.
- If the shape is a cube, all sides are equal (e.g., 20 cm × 20 cm × 20 cm).
- Volume: $ s^3 $
- Surface Area: $ 6s^2 $

---

❓If You Can Describe the Dimensions...



Please list the dimensions of each figure (e.g., "Figure 1: 40 cm × 30 cm × 20 cm"), and I’ll compute the volume and surface area for all of them.

Or, if you can type out the dimensions from the image, I’ll solve them one by one!
Parent Tip: Review the logic above to help your child master the concept of surface area and volume of a rectangular prism worksheet.
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