Which of the options below show the dimensions of a right rectangular prism with a volume greater than 180 cubic inches? Select all that apply.

A) 4 in. x 1 in. x 12 in.
B) 5 in. x 7 in. x 6 in.
C) 11 in. x 9 in. x 2 in.
D) 12 in. x 12 in. x 3 in.

To determine which options show the dimensions of a right rectangular prism with a volume greater than 180 cubic inches, we need to calculate the volume of each prism using the formula for the volume of a rectangular prism:

\[
V = \text{length} \times \text{width} \times \text{height}
\]

### Let's calculate each option:

#### A) \( 4 \, \text{in.} \times 1 \, \text{in.} \times 12 \, \text{in.} \)

\[
V = 4 \times 1 \times 12 = 48 \, \text{cubic inches}
\]
**This is less than 180 cubic inches.**

#### B) \( 5 \, \text{in.} \times 7 \, \text{in.} \times 6 \, \text{in.} \)

\[
V = 5 \times 7 \times 6 = 210 \, \text{cubic inches}
\]
**This is greater than 180 cubic inches.**

#### C) \( 11 \, \text{in.} \times 9 \, \text{in.} \times 2 \, \text{in.} \)

\[
V = 11 \times 9 \times 2 = 198 \, \text{cubic inches}
\]
**This is greater than 180 cubic inches.**

#### D) \( 12 \, \text{in.} \times 12 \, \text{in.} \times 3 \, \text{in.} \)

\[
V = 12 \times 12 \times 3 = 432 \, \text{cubic inches}
\]
**This is greater than 180 cubic inches.**

### Conclusion:
The options that show the dimensions of a right rectangular prism with a volume greater than 180 cubic inches are:
- **B)** \( 5 \, \text{in.} \times 7 \, \text{in.} \times 6 \, \text{in.} \)
- **C)** \( 11 \, \text{in.} \times 9 \, \text{in.} \times 2 \, \text{in.} \)
- **D)** \( 12 \, \text{in.} \times 12 \, \text{in.} \times 3 \, \text{in.} \)

Would you like more details or have any questions?

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Here are 5 questions related to volume and geometry:
1. What is the formula for calculating the surface area of a right rectangular prism?
2. How does changing one dimension of a prism affect its volume?
3. How would the volume change if the dimensions of a rectangular prism were doubled?
4. What are the units of volume when all dimensions are measured in meters?
5. Can two rectangular prisms have the same volume but different surface areas?

**Tip:** The volume of any three-dimensional shape depends on all its dimensions, so even a small change in any one can significantly affect the total volume.

Which of the options below show the dimensions of a right rectangular prism with a volume greater than 180 cubic inches? Select all that apply.
A) 4 in. x 1 in. x 12 in.
B) 5 in. x 7 in. x 6 in.
C) 11 in. x 9 in. x 2 in.
D) 12 in. x 12 in. x 3 in.

This math problem helps students learn how to calculate the volume of right rectangular prisms and determine which options exceed 180 cubic inches. Key concepts include the volume formula and applying multiplication. Suitable for students in Grades 5-7.

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