Answer:
1. <em>Volume of cube-shaped box = 91.125 cubic inches</em>
2. <em>Volume of shipping box = 729 cubic inches</em>
3. 8 boxes of office supplies can be packed into the larger box for shipping.
Step-by-step explanation:
1.
The first question asks for the volume of a cube. The formula is V = s^3, where, s is the side length and V is the volume. <em>Thus plugging in, we get:</em>
<em></em>
<em>Volume of cube-shaped box = 91.125 cubic inches</em>
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2.
The second question asks for the volume of the shipping box. Since 3 measurements are given, the shipping box is a rectangular prism. The volume of a rectangular prism is V = l * w * h, where
V is the volume
l is the length
w is the width, and
h is the height
<em>Plugging in all the info we know (multiplying the 3 numbers - dimensions), we can get the volume of the shipping box. So:</em>
<em></em>
<em>Volume of shipping box = 729 cubic inches</em>
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3.
Since the <em>volume of a single box of office supplies (cub-shape) is 91.125 cu. in., and the volume of larger shipping box is 729, we can divide 729 by 91.125 to find how many of them would fit the large box.</em>
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Hence, 8 boxes of office supplies can be packed into the larger box for shipping.