Volume of rectangle = Length x Width x Height
Let height be x
Width be 3x
Length be 9x
Volume = 64 ft³
(x) (3x) (9x) = 64
27x³ = 64
[tex] \sqrt[3]{27x ^{3} } = \sqrt[3]{64} [/tex]
3x = 4
3x/3 = 4/3
x = 4/3 ft.
The dimensions are:
Height: x = 4/3 ft
Width: 3x = 3(4/3) = 4 ft
Length: 9x = 9 (4/3) = 12 ft
To check:
(4/3 ft) (4 ft) (12 ft) = 65 ft³
(4/3 ft) ( 48 ft²) = 64 ft³
64 ft³ = 64 ft³