Question

Big Smiles Toy Company needs to pack marbles into a box. The company has two boxes they can use. Box A is 9 inches wide, 13 inches long, and 11.5 inches high. Box B is 14 inches wide, 8.5 inches long, and 12 inches high. Big Smiles Toy Company wants to use the larger box. Which box should the company choose and how much larger is it?

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Answer 1

Answer:

Big Smiles Toy Company should choose Box B as its volume is  82.5 $inch^3$ larger than Box A

Step-by-step explanation:

Given

Dimension of Box A= 9 inches width, 13 inches length, 11.5 inches height

Dimension of Box B =14 inches width, 8.5 inches length, 12 inches height

Volume of Box A= Length$\times$width$\times$ height=$9\times13\times11.5= 1345.5 inches^3$

Volume of Box B =Length$\times$ width$\times$ height= $14\times8.5\times12= 1428 inches^3$

Difference = Volume of Box B - Volume of Box A = 1428 - 1345.5 = 82.5$inches^3$

Box B has 82.5 $inch^3$ volume larger than Box A