Question

regular fridge and a gigantic fridge (details shown in the table below). she notices that the gigantic fridge costs 3 times as much as the regular fridge. how many times as great is the volume of the gigantic fridge as the volume of the regular fridge? choose 1 answer: a 2 times b 2.5 times c 3 times d 3.5 times area of base height price regular fridge 1 m² 2 m $200 gigantic fridge 2 m² (5/2) m $600

Explanation:

Step1: Calculate the volume of the regular fridge

The volume \(V\) of a rectangular - prism - like fridge (assuming the fridge has a base area \(A\) and height \(h\)) is given by the formula \(V = A\times h\). For the regular fridge, \(A = 1m^{2}\) and \(h = 2m\). So, \(V_{regular}=1\times2=2m^{3}\).

Step2: Calculate the volume of the gigantic fridge

For the gigantic fridge, \(A = 2m^{2}\) and \(h=\frac{5}{2}m\). Using the formula \(V = A\times h\), we have \(V_{gigantic}=2\times\frac{5}{2}\).

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Step3: Find the ratio of the volumes

The ratio \(r=\frac{V_{gigantic}}{V_{regular}}\). Substitute \(V_{gigantic}=5m^{3}\) and \(V_{regular}=2m^{3}\) into the formula. \(r = \frac{5}{2}=2.5\)

Answer:

B. \(2.5\) times