The volume of larger storage is 248.8 cubic ft and the total volume of both the storages is 260.8 cubic feet.
Given information:
Tyler has two cube-shaped storage spaces in his apartment building, one large and one small.
The small storage space has a volume of 12 cubic ft.
One side of the large storage space is 4 feet long.
Let a be the side of the smaller cube. The value of a can be calculated as,
[tex]a^3=12\\a=2.289[/tex]
The side of the larger cube will be,
[tex]b=a+4\\b=2.289+4\\b=6.289[/tex]
So, the volume of the larger cubical space will be calculated as,
[tex]V=b^3\\=6.289^3\\=248.8[/tex]
The total volume of both the spaces will be,
[tex]248.8+12=260.8[/tex]
Therefore, the volume of larger storage is 248.8 cubic ft and the total volume of both the storages is 260.8 cubic feet.
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https://brainly.com/question/12292015
