Question

youre searching for a carrying case thats easy to store and transport for your streaming setup. youve found several rectangular prism options and want to purchase the one that has the greatest volume. the case youre considering has the dimensions of 20 cm (length), 25 cm (width), and 50 cm (height). whats the volume of this case? 5,500 cm³ 12,500 cm³ 95 cm³ 25,000 cm³

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume \(V\) of a rectangular prism is given by \(V = l\times w\times h\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.

Step2: Substitute the given values into the formula

Here, \(l = 20\space cm\), \(w=25\space cm\), and \(h = 50\space cm\). So, \(V=20\times25\times50\).
First, calculate \(20\times25\): \(20\times25=(2\times10)\times(25)=2\times25\times10 = 50\times10=500\).
Then, multiply the result by \(50\): \(V = 500\times50=(5\times100)\times50=5\times50\times100=250\times100 = 25000\space cm^{3}\).

Answer:

\(25000\space cm^{3}\) (the fourth option)