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he volume of an object that is 23 ft wide, 10 ft deep, and 8 ft height is:1200 cubic ft2000 cubic ft1684 cubic ft1840 cubic ft

Question

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Solution

1. Break Down the Problem

To find the volume of the object, we can use the formula for the volume of a rectangular prism:

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

2. Relevant Concepts

  • The dimensions provided are:
    • Width = 23 ft
    • Depth = 10 ft
    • Height = 8 ft

3. Analysis and Detail

Substituting the values into the volume formula:

Volume=23 ft×10 ft×8 ft \text{Volume} = 23 \ \text{ft} \times 10 \ \text{ft} \times 8 \ \text{ft}

4. Verify and Summarize

Calculating the product:

  1. 23 ft×10 ft=230 ft2 23 \ \text{ft} \times 10 \ \text{ft} = 230 \ \text{ft}^2
  2. 230 ft2×8 ft=1840 ft3 230 \ \text{ft}^2 \times 8 \ \text{ft} = 1840 \ \text{ft}^3

Final Answer

The volume of the object is 1840 cubic ft \boxed{1840} \ \text{cubic ft} .

This problem has been solved

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