Super Storage takes storage cubes to customers, the customers fill them, and then super storage takes the cubes to their storage warehouse. The volume for one storage cube is 1,041 1/4 cubic feet. If the cubes length is 12 1/4 feet and the width is 8 1/2 feet, how tall is 1 cube.

Respuesta :

Answer:

The height is 10ft

Step-by-step explanation:

Given

[tex]V = 1041\frac{1}{4}ft^3[/tex] --- Volume

[tex]L = 12\frac{1}{4}ft[/tex] --- Length

[tex]W = 8\frac{1}{2}ft[/tex] --- Width

Required

The height (H)

The volume is calculated using:

[tex]V = LWH[/tex]

Make H the subject

[tex]H = \frac{V}{LW}[/tex]

Substitute values for V, L and W

[tex]H = \frac{1041\frac{1}{4}}{12\frac{1}{4}*8\frac{1}{2}}[/tex]

Express as decimals

[tex]H = \frac{1041.25}{12.25*8.5}[/tex]

[tex]H = \frac{1041.25}{104.125}[/tex]

[tex]H = 10[/tex]

The height is 10ft

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