Suppose you are an aerospace engineer. It is your job to design a new type of fighter jet, and you have already been given a model for it. The actual jet is to be 50 times as large as the model. The dimensions of the model are as follows. Fill in the table with the actual dimensions.

Question

Model Dimensions Actual Dimensions
Length 3 ft
?
Width 6 in
?
Height 0.3 ft
?

Answer 1

To find the actual dimensions of the fighter jet based on the model dimensions, you will scale each dimension by a factor of 50.

Conversion Factors

1. Length: 1 ft = 12 inches
2. 1 ft to inches: \[ 1 \text{ ft} = 12 \text{ in} \]

Now, let’s calculate the actual dimensions:

1. Length:

   • Model Length: 3 ft
   • Actual Length = Model Length × Scale Factor = \(3 \text{ ft} \times 50 = 150 \text{ ft}\)

2. Width:

   • Model Width: 6 in
   • Actual Width = Model Width × Scale Factor = \(6 \text{ in} \times 50 = 300 \text{ in}\)
   • Converting inches to feet: \[ 300 \text{ in} \div 12 = 25 \text{ ft} \]

3. Height:

   • Model Height: 0.3 ft
   • Actual Height = Model Height × Scale Factor = \(0.3 \text{ ft} \times 50 = 15 \text{ ft}\)

Summary of Actual Dimensions:

| Model Dimensions | Actual Dimensions | |------------------|-------------------| | Length | 150 ft | | Width | 25 ft | | Height | 15 ft |

So, the completed table is:

| Model Dimensions | Actual Dimensions | |------------------|-------------------| | Length | 150 ft | | Width | 25 ft | | Height | 15 ft |