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
1 answer:
Answer:
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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