Question

the equipment you use for your streaming setup needs to be easy to store, and you would also like to take it home occasionally. 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 25,000 cm³ 12,500 cm³ 95 cm³

Explanation:

Step1: Recall the volume formula for a rectangular prism

The volume \( V \) of a rectangular prism is given by \( V=\text{length}\times\text{width}\times\text{height}\).

Step2: Substitute the given values into the formula

Here, length \( l = 20\space\text{cm}\), width \( w=25\space\text{cm}\), and height \( h = 50\space\text{cm}\). So \( V=20\times25\times50\).
First, calculate \( 20\times25\):
\( 20\times25=(2\times10)\times(25)=2\times(10\times25)=2\times250 = 500\).
Then, calculate \( 500\times50\):
\( 500\times50=(5\times100)\times50=5\times(100\times50)=5\times5000=25000\).

Answer:

\(25,000\space\text{cm}^3\)