Fill in the table below using the measurements given for each item. Please show your work.



Length (base)
Width
Height
Area or Volume
Rectangle #1
13 inches
5 inches

A= 650  //  65 
Rectangle #2
1.6
3.2

A= 500.12  //  50.12 
Triangle #1
4


A=
Triangle #2



A=
3D Rectangle #1



V=
3D Rectangle #2



V=


..
10 inches
9.980
       7






Let's go through the calculations for each item to fill in the table correctly. I will show the work step-by-step.

### Rectangle #1
- **Length (base) = 13 inches**
- **Width = 5 inches**

Area \( A \) of a rectangle is calculated using:
\[
A = \text{Length} \times \text{Width} = 13 \times 5 = 65 \text{ square inches}
\]

It seems like there was a mistake in the provided area \( A \). It should be 65 square inches, not 650. Let's correct that.

### Rectangle #2
- **Length (base) = 1.6 inches**
- **Width = 3.2 inches**

Area \( A \) of a rectangle:
\[
A = \text{Length} \times \text{Width} = 1.6 \times 3.2 = 5.12 \text{ square inches}
\]

Again, there is an apparent error in the provided area. It should be 5.12 square inches, not 500.12.

### Triangle #1
- **Base = 4 inches**
- **Height = Missing**

To calculate the area \( A \) of a triangle, we need both the base and the height:
\[
A = \frac{1}{2} \times \text{Base} \times \text{Height}
\]

Since the height is missing, we cannot calculate the area until we have that value.

### Triangle #2
- **Base = Missing**
- **Height = Missing**

Without both the base and height, we cannot calculate the area \( A \).

### 3D Rectangle (Rectangular Prism) #1
- **Length = Missing**
- **Width = Missing**
- **Height = Missing**

The volume \( V \) of a rectangular prism is calculated using:
\[
V = \text{Length} \times \text{Width} \times \text{Height}
\]

Since all dimensions are missing, we cannot calculate the volume \( V \).

### 3D Rectangle (Rectangular Prism) #2
- **Length = 10 inches**
- **Width = 9.980 inches**
- **Height = 7 inches**

Volume \( V \) of the rectangular prism:
\[
V = \text{Length} \times \text{Width} \times \text{Height} = 10 \times 9.980 \times 7 = 698.6 \text{ cubic inches}
\]

### Filled Table
Here’s the corrected and filled table:

| Length (base) | Width | Height | Area or Volume       |
|---------------|-------|--------|----------------------|
| **Rectangle #1** | 13 inches  | 5 inches  | **A = 65 square inches**  |
| **Rectangle #2** | 1.6 inches  | 3.2 inches  | **A = 5.12 square inches**  |
| **Triangle #1** | 4 inches  | (missing)  | **A = (missing)**  |
| **Triangle #2** | (missing)  | (missing)  | **A = (missing)**  |
| **3D Rectangle #1** | (missing)  | (missing)  | (missing)  | **V = (missing)**  |
| **3D Rectangle #2** | 10 inches  | 9.980 inches  | 7 inches  | **V = 698.6 cubic inches**  |

---

**Would you like any further details or have any questions?**

**5 Related Questions:**
1. What is the formula for calculating the area of a triangle?
2. How does changing the height of a triangle affect its area?
3. Can you calculate the area of a trapezoid with given bases and height?
4. How does one calculate the surface area of a rectangular prism?
5. What is the difference between surface area and volume in three-dimensional shapes?

**Tip:** Always double-check your units (square inches, cubic inches, etc.) to ensure the calculations make sense in context.

Fill in the table below using the measurements given for each item. Please show your work.

Learn how to calculate the area of rectangles and the volume of rectangular prisms with detailed step-by-step solutions. This problem covers essential geometry concepts, including formulas for area and volume. Suitable for students in Grades 6-8.

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