I see that you've uploaded an image. I'll analyze it and extract the mathematical content for explanation. One moment, please.The image contains two rectangular prisms with surface area (SA) and volume calculations.

Details:

1. First Rectangular Prism:

   • Dimensions: 16 mm (length), 6 mm (width), and 5 mm (height).

   • Surface Area (SA) formula:
     $SA = 2(lw + lh + wh)$ Substituting the dimensions: $SA = 2((16 \times 6) + (16 \times 5) + (6 \times 5))$ $SA = 2(96 + 80 + 30) = 2 \times 206 = 412 \, \text{mm}^2$ (matches the calculation on the page).

   • Volume (V) formula: $V = l \times w \times h$ Substituting the dimensions: $V = 16 \times 6 \times 5 = 480 \, \text{mm}^3$

2. Second Rectangular Prism:

   • Dimensions: 17 cm (length), 7 cm (width), and 2 cm (height).

   • Surface Area (SA) formula: $SA = 2(lw + lh + wh)$ Substituting the dimensions: $SA = 2((17 \times 7) + (17 \times 2) + (7 \times 2))$ $SA = 2(119 + 34 + 14) = 2 \times 167 = 334 \, \text{cm}^2$ (matches the calculation on the page).

   • Volume (V) formula: $V = l \times w \times h$ Substituting the dimensions: $V = 17 \times 7 \times 2 = 238 \, \text{cm}^3$

Would you like me to clarify any specific step or provide further examples?

5 Related Questions:

1. How does the formula for surface area differ for other shapes like cylinders?
2. What are the SI units for surface area and volume, and how are they converted?
3. Why is volume expressed in cubic units while surface area uses square units?
4. How can these formulas be derived geometrically?
5. How do these calculations change if one dimension is doubled?

Tip:

Always double-check units (e.g., mm vs. cm) in calculations to avoid errors.