Question

roy is creating a miniature model of the kitchen in his parents restaurant using a ratio of 1:5. there are two refrigerators in the kitchen that are 1.5 m tall and 2 m wide. both have a depth of 1 m. how much space will the refrigerators occupy in roys model? 0.240 m³ 1.200 m³ 0.048 m³ 0.600 m³

Explanation:

Step1: Calculate real - volume of one refrigerator

The volume formula for a rectangular prism is $V = l\times w\times h$. For one refrigerator, $l = 2m$, $w = 1m$, $h = 1.5m$. So the volume of one refrigerator $V_1=2\times1\times1.5 = 3m^{3}$.

Step2: Calculate real - volume of two refrigerators

Since there are two refrigerators, the total real - volume $V_{total}=2\times V_1=2\times3 = 6m^{3}$.

Step3: Use the scale ratio

The scale ratio is $1:5$. The ratio of volumes of the model to the real - life object is $(1/5)^3=\frac{1}{125}$.

Step4: Calculate volume in the model

The volume of the two refrigerators in the model $V_{model}=V_{total}\times\frac{1}{125}=6\times\frac{1}{125}= 0.048m^{3}$.

Answer:

$0.048m^{3}$