A model of a tractor-trailer is shaped like a rectangular prism and has a width of 2 in., a length of 11 in., and a height of 4 in.. The scale of the model is 1 font size decreased by 10 : font size decreased by 10 34. How many times the volume of the model is the volume of the actual tractor-trailer?

The volume of the actual tractor-trailer is 2992 in³

Step-by-step explanation:

To determine how many times the volume of the model is the volume of the actual tractor-trailer,

First, we will determine the volume of the model tractor-trailer.

Since, the model tractor trailer is shaped like a rectangular prism, the volume of the model tractor-trailer can be calculated using the formula for volume of a rectangular prism.

Volume of rectangular prism = length × width × height

From the question,

length = 11 in

width = 2 in

and height = 4 in

∴ Volume of model tractor-trailer = 11 in × 2 in × 4 in

Volume of model tractor-trailer = 88 in³  

From the question,

The scale of the model is 1 font size decreased by 10 : 34 font size decreased by 10.

That is 1 : 34

Then, if the the volume of the actual tractor-trailer is y, we can write that

Then,

y = 88 × 34

y = 2992 in³

Hence, the volume of the actual tractor-trailer is 2992 in³.

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step-by-step explanation:

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