An engineer is building a model of a vehicle, using the scale factor 2:43.The actual dimensions of the vehicle are given in this table.

Question

Drag and drop the length of the scale model of the vehicle.

Measurements are rounded to the nearest tenth of an inch.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Length of model (in inches)

Dimensions of Actual Vehicle
Dimension Measurement
Length 192 in.
Width 72 in.
Height 58 in.

Answer 1

To calculate the length of the scale model of the vehicle, we need to use the scale factor of 2:43.

To find the model length, we can set up a proportion:

\[ \frac{\text{Model Length}}{\text{Actual Length}} = \frac{2}{43} \]

Given that the actual length of the vehicle is 192 inches, we calculate the model length as follows:

\[ \text{Model Length} = \frac{2}{43} \times 192 \]

Now let's do the calculation:

\[ \text{Model Length} = \frac{2 \times 192}{43} = \frac{384}{43} \approx 8.93 \]

Rounding to the nearest tenth, we find:

\[ \text{Model Length} \approx 8.9 \text{ in.} \]

Thus, the length of the scale model of the vehicle is approximately 8.9 inches.

Now, if it's to be input into a form, you would enter 8.9 inches in the designated area for the length of the model.

For the other dimensions:

1. For Width (72 in.): \[ \text{Model Width} = \frac{2}{43} \times 72 \approx 3.4 \text{ in.} \]

2. For Height (58 in.): \[ \text{Model Height} = \frac{2}{43} \times 58 \approx 2.7 \text{ in.} \]

So, the complete responses would be:

• Length of model: 8.9 inches
• Width of model: 3.4 inches
• Height of model: 2.7 inches