The image provided seems to contain a problem related to geometry, specifically dealing with the volume and surface area of a rectangular prism. I'll interpret and solve the problem based on what I can extract from the image.

Problem Summary:

• Given: A rectangular prism with dimensions $l = 7$ cm, $w = 4$ cm, and $h = 3$ cm.
• Tasks:
  1. Calculate the volume of the rectangular prism.
  2. Calculate the surface area of the rectangular prism.

Step-by-Step Solution:

1. Volume of the Rectangular Prism

The formula for the volume $V$ of a rectangular prism is: $V = l \times w \times h$ Where:

• $l = 7$ cm (length),
• $w = 4$ cm (width),
• $h = 3$ cm (height).

Substituting the values: $V = 7 \times 4 \times 3 = 28 \times 3 = 84 \, \text{cm}^3$

So, the volume of the rectangular prism is 84 cm³.

2. Surface Area of the Rectangular Prism

The formula for the surface area $A$ of a rectangular prism is: $A = 2(lw + lh + wh)$ Where:

• $l = 7$ cm,
• $w = 4$ cm,
• $h = 3$ cm.

First, calculate each of the products inside the parentheses: $lw = 7 \times 4 = 28 \, \text{cm}^2$ $lh = 7 \times 3 = 21 \, \text{cm}^2$ $wh = 4 \times 3 = 12 \, \text{cm}^2$

Next, sum these values: $lw + lh + wh = 28 + 21 + 12 = 61 \, \text{cm}^2$

Finally, multiply by 2 to find the surface area: $A = 2 \times 61 = 122 \, \text{cm}^2$

So, the surface area of the rectangular prism is 122 cm².

Summary of Answers:

1. Volume: 84 cm³
2. Surface Area: 122 cm²

Would you like more details, or do you have any further questions?

Here are five related questions:

1. What is the formula for the diagonal length of a rectangular prism?
2. How would the volume change if the height of the prism was doubled?
3. What is the surface area of a cube with an edge length equal to the width of the given prism?
4. If the rectangular prism was a hollow box with a wall thickness of 0.5 cm, how would you calculate the volume of the material used?
5. How would the surface area be affected if only the length was increased by 2 cm?

Tip: Always label the units in your calculations to avoid confusion, especially when working with measurements in geometry.