The image shows a rectangular prism (also called a cuboid) with labeled dimensions $l$, $w$, and $h$, where:

• $l$ (length) = 10 inches
• $w$ (width) = 6 inches
• $h$ (height) = 2 inches

We can calculate two key properties of this cuboid:

1. Volume: The volume $V$ of a rectangular prism is given by the formula: $V = l \times w \times h$ Substituting the given values: $V = 10 \times 6 \times 2 = 120 \, \text{in}^3$ So, the volume is 120 cubic inches.

2. Surface Area: The surface area $A$ of a rectangular prism is calculated using the formula: $A = 2(lw + lh + wh)$ Substituting the given values: $A = 2(10 \times 6 + 10 \times 2 + 6 \times 2) = 2(60 + 20 + 12) = 2 \times 92 = 184 \, \text{in}^2$ So, the surface area is 184 square inches.

Would you like more details or have any other questions?

Here are some related questions for further exploration:

1. What would the volume be if the height were doubled?
2. How does changing the width affect the surface area?
3. If the cuboid were filled with a material, how much material would it hold in cubic centimeters?
4. What is the diagonal length of the cuboid?
5. Can you form a cube with the same surface area as this cuboid?

Tip: The surface area of a rectangular prism grows faster than its volume as dimensions increase.