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Question
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a cereal box is shaped like a rectangular prism with a length of 8 cm, a width of 5 cm, and a
height of 30 cm. what is its volume?
1200 cm³
2400 cm³
1800 cm³
1500 cm³
Step1: Recall the volume formula for a rectangular prism
The volume \( V \) of a rectangular prism is given by \( V=\text{length}\times\text{width}\times\text{height}\), or \( V = l\times w\times h \).
Step2: Substitute the given values into the formula
Here, \( l = 8\space\text{cm}\), \( w = 5\space\text{cm}\), and \( h=30\space\text{cm}\). So, \( V=8\times5\times30\).
First, calculate \( 8\times5\): \( 8\times5 = 40\).
Then, calculate \( 40\times30\): \( 40\times30=1200\space\text{cm}^3\).
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\(1200\space\text{cm}^3\) (the first option)