Question

1. luis and jordan built a platform to use on stage du made of two rectangular prisms as shown below. what is the total volume of the platform? a 28 cubic feet b. 80 cubic feet c. 120 cubic feet d. 200 cubic feet

Explanation:

Step1: Calculate the volume of the upper prism

The formula for the volume of a rectangular prism is \(V = l\times w\times h\). For the upper prism, \(l = 5\) ft, \(w=4\) ft, \(h = 4\) ft. So \(V_1=5\times4\times4\).

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Step2: Calculate the volume of the lower prism

For the lower prism, \(l = 6\) ft, \(w = 5\) ft, \(h=4\) ft. Using the volume formula \(V=l\times w\times h\), we have \(V_2=6\times5\times4\).

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Step3: Calculate the total volume

The total volume \(V = V_1+V_2\). Substitute \(V_1 = 80\) and \(V_2=120\) into the formula. \(V=80 + 120\).

$$V=200\text{ cubic feet}$$

Answer:

D. 200 cubic feet