Math Problem Statement

Length (l) 6m, Width (w) 3.5m, Depth (d) 0.1m

Solution

The dimensions provided suggest a rectangular object with the following measurements:

  • Length (l) = 6 meters
  • Width (w) = 3.5 meters
  • Depth (d) = 0.1 meters

With these, you can calculate various properties, such as:

  1. Area (A) of the surface: A=l×w=6m×3.5m=21m2A = l \times w = 6 \, \text{m} \times 3.5 \, \text{m} = 21 \, \text{m}^2

  2. Volume (V) of the object: V=l×w×d=6m×3.5m×0.1m=2.1m3V = l \times w \times d = 6 \, \text{m} \times 3.5 \, \text{m} \times 0.1 \, \text{m} = 2.1 \, \text{m}^3

  3. Perimeter (P) of the rectangular surface: P=2(l+w)=2(6m+3.5m)=19mP = 2(l + w) = 2(6 \, \text{m} + 3.5 \, \text{m}) = 19 \, \text{m}

Would you like more details on these calculations or have any further questions?

Here are some related questions:

  1. How do you calculate the surface area of 3D objects with more complex shapes?
  2. What is the formula to calculate the diagonal of this rectangular surface?
  3. How would increasing the depth affect the volume of the object?
  4. How can we use these dimensions to calculate the mass if we know the material's density?
  5. How would you find the cross-sectional area of the object?

Tip: For objects with thickness or depth, multiplying the area of the base by the depth gives you the volume.

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Math Problem Analysis

Mathematical Concepts

Geometry
Area
Volume
Perimeter

Formulas

Area (A) = l × w
Volume (V) = l × w × d
Perimeter (P) = 2(l + w)

Theorems

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Suitable Grade Level

Grades 5-7