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Question
the volume of a rectangular prism with length /, width w, and height h is /wh. lila built a wooden box shaped like a rectangular prism to hold her rock collection. it has dimensions 11 inches by 10 inches by 5.5 inches. what is the volume of the box? write your answer as a whole number or decimal. cubic inches
Step1: Substitute the values into the formula
The formula for the volume of a rectangular prism is \(V = lwh\). Here, \(l = 11\), \(w = 10\), and \(h=5.5\). So, \(V=11\times10\times5.5\).
Step2: Perform the multiplication
First, \(11\times10 = 110\). Then, \(110\times5.5\). We can calculate \(110\times5.5=(100 + 10)\times5.5=100\times5.5+10\times5.5 = 550+55=605\).
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605