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