Math Problem Statement

Length (l) 6m, Width (w) 3.5m, Depth (d) 0.1m. How many cubic metres of concrete do you need?

Solution

The volume of concrete required can be calculated using the formula for the volume of a rectangular prism:

Volume=Length×Width×Depth\text{Volume} = \text{Length} \times \text{Width} \times \text{Depth}

Given:

  • Length (ll) = 6 m
  • Width (ww) = 3.5 m
  • Depth (dd) = 0.1 m

Substitute the values into the formula:

Volume=6×3.5×0.1=2.1m3\text{Volume} = 6 \times 3.5 \times 0.1 = 2.1 \, \text{m}^3

You will need 2.1 cubic meters of concrete.

Would you like further details on this calculation or any other clarification?

Here are 5 related questions:

  1. How would the volume change if the depth is doubled?
  2. What is the total surface area of the base (Length × Width)?
  3. If the width increases by 1 meter, how much more concrete is needed?
  4. How does the calculation change if the depth is given in centimeters?
  5. How would you convert cubic meters to liters for the same volume?

Tip: Always check your units—ensure they are consistent throughout the calculation.

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of Rectangular Prism

Formulas

Volume = Length × Width × Depth

Theorems

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Suitable Grade Level

Grades 6-8