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 v = bh

Explanation:

Step1: Confirm flour height

Given total height $9$ in, subtract lid space:
$9 - 1.5 = 7.5$ in

Step2: Confirm base area

Base is square: $6 \times 6 = 36$ in$^2$

Step3: Calculate flour volume

Use $V = B \times h$:
$V = 36 \times 7.5$

Answer:

$270$ in$^3$