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?​

Accepted Solution

Answer:Big Smiles Toy Company should choose Box B as its volume is Β 82.5 [tex]inch^3[/tex] larger than Box AStep-by-step explanation:GivenDimension of Box A= 9 inches width, 13 inches length, 11.5 inches heightDimension of Box B =14 inches width, 8.5 inches length, 12 inches heightVolume of Box A= Length[tex]\times[/tex]width[tex]\times[/tex] height=[tex]9\times13\times11.5= 1345.5 inches^3[/tex]Volume of Box B =Length[tex]\times[/tex] width[tex]\times[/tex] height= [tex]14\times8.5\times12= 1428 inches^3[/tex]Difference = Volume of Box B - Volume of Box A = 1428 - 1345.5 = 82.5[tex]inches^3[/tex]Box B has 82.5 [tex]inch^3[/tex] volume larger than Box A