Question

alice keeps flour in a canister shaped like a rectangular prism. when filling the canister, she needs to leave 1.5 inches of space at the top, to allow room for the lid. inside the canister, what height can the flour reach? 7.5 in. what is the area of the base, b, of the canister? 36 in.² what is the greatest volume, v, of flour that will fit in the canister? v = ? in.³

Explanation:

Step1: Recall the formula for the volume of a rectangular prism

The volume formula is \(V = B\times h\), where \(B\) is the base area and \(h\) is the height.

Step2: Identify the values of \(B\) and \(h\)

We know from previous parts that \(B = 36\) in.\(^{2}\) and \(h=7.5\) in.

Step3: Calculate the volume

Substitute \(B = 36\) and \(h = 7.5\) into the formula \(V=B\times h\). So \(V=36\times7.5\).

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Answer:

\(270\)