Question

Determine the volume of the rectangular prism. Do not round.

The height is 2 in, and the width is 10 in, and the length is 8 in

(3 points)
Area of the rectangular Base =
square inches

Height of the rectangular prism =
inches

Volume of the rectangular prism =
cubic inches

Question 2
Determine the volume of the rectangular prism. Do not round.
The height is 6 in, the width is 8 in, and the length is 2 in


(3 points)
Area of the rectangular Base =
square inches

Height of the rectangular prism =
inches

Volume of the rectangular prism =
cubic inches

Question 3
Determine the total volume of the 3-D figure.



(3 points)

cubic inches +
cubic inches =
cubic inches

Answer 1

To find the volume of a rectangular prism, the formula is:

\[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Height} \]

### Question 1

- **Height**: 2 inches
- **Width**: 10 inches
- **Length**: 8 inches

1. **Area of the rectangular Base**:
\[
\text{Area} = \text{Length} \times \text{Width} = 8 \, \text{in} \times 10 \, \text{in} = 80 \, \text{square inches}
\]

2. **Height of the rectangular prism**:
\[
\text{Height} = 2 \, \text{inches}
\]

3. **Volume of the rectangular prism**:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height} = 8 \, \text{in} \times 10 \, \text{in} \times 2 \, \text{in} = 160 \, \text{cubic inches}
\]

---

### Question 2

- **Height**: 6 inches
- **Width**: 8 inches
- **Length**: 2 inches

1. **Area of the rectangular Base**:
\[
\text{Area} = \text{Length} \times \text{Width} = 2 \, \text{in} \times 8 \, \text{in} = 16 \, \text{square inches}
\]

2. **Height of the rectangular prism**:
\[
\text{Height} = 6 \, \text{inches}
\]

3. **Volume of the rectangular prism**:
\[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height} = 2 \, \text{in} \times 8 \, \text{in} \times 6 \, \text{in} = 96 \, \text{cubic inches}
\]

---

### Question 3

Now, to determine the total volume of the two prisms obtained from questions 1 and 2:

- Volume from Question 1: \( 160 \, \text{cubic inches} \)
- Volume from Question 2: \( 96 \, \text{cubic inches} \)

**Total Volume**:
\[
\text{Total Volume} = 160 \, \text{cubic inches} + 96 \, \text{cubic inches} = 256 \, \text{cubic inches}
\]

---

### Final Summary

**Question 1**:
- Area of the rectangular Base = 80 square inches
- Height of the rectangular prism = 2 inches
- Volume of the rectangular prism = 160 cubic inches

**Question 2**:
- Area of the rectangular Base = 16 square inches
- Height of the rectangular prism = 6 inches
- Volume of the rectangular prism = 96 cubic inches

**Question 3**:
- Total Volume = 256 cubic inches