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The scale factor of a model of a warehouse to the actual warehouse is 1 to 2. The volume of theactual warehouse is 8,455 ft^3. Find the volume of the model. Round to a whole number.

User Arud Seka Berne S
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1 Answer

14 votes
14 votes

Question

The scale factor of a model of a warehouse to the actual warehouse is 1 to 2. The volume of the actual warehouse is 8,455 ft^3. Find the volume of the model. Round to a whole number.​

Solution

The scale factor (or ratio) of the model to the actual is


1\colon2

The scalar factor (or ratio) for the volume will be


\begin{gathered} 1^3\colon2^3 \\ 1\colon8 \end{gathered}

To find the volume of the model

Let the volume of the model by denoted with x

We use the ratio


\begin{gathered} (1)/(8)=(x)/(8455) \\ \text{cross multiply} \\ 8* x=1*8455 \\ 8x=8455 \\ x=(8455)/(8) \\ x=1056.875 \\ x=1057ft^3\text{ (to the nearest whole number)} \end{gathered}

Thus, the volume of the model is 1057ft^3

User Victor Gallet
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