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How much concrete is needed to fill a section of sidewalk that is 120 inches long, 72 inches wide, and 6 inches high?

Question

How much concrete is needed to fill a section of sidewalk that is 120 inches long, 72 inches wide, and 6 inches high?

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Solution

To determine the amount of concrete needed to fill the section of the sidewalk, we need to calculate the volume of the rectangular prism formed by the given dimensions.

  1. Identify the dimensions:

    • Length (L) = 120 inches
    • Width (W) = 72 inches
    • Height (H) = 6 inches
  2. Use the formula for the volume of a rectangular prism: Volume=Length×Width×Height \text{Volume} = \text{Length} \times \text{Width} \times \text{Height}

  3. Substitute the given dimensions into the formula: Volume=120inches×72inches×6inches \text{Volume} = 120 \, \text{inches} \times 72 \, \text{inches} \times 6 \, \text{inches}

  4. Perform the multiplication: 120×72=8640square inches 120 \times 72 = 8640 \, \text{square inches} 8640×6=51840cubic inches 8640 \times 6 = 51840 \, \text{cubic inches}

Therefore, the amount of concrete needed to fill the section of the sidewalk is 51,840 cubic inches.

This problem has been solved

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