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A fish tank has the shape of a rectangular prism. It has a length of 2 1/4 m, width of 7/8 m, and a height of 1 1/2 m. What is the volume of the fish tank? A.1 31/32 m³B. 2 61/64 m³C.4 5/8 m³ D.13 5/16 m³

Respuesta :

dexteright02
Data:
l (lenght) = [tex]2 \frac{1}{4} m[/tex] = [tex] \frac{9}{4}m [/tex]
w (widht) = [tex] \frac{7}{8}m [/tex]
h (height) = [tex]1 \frac{1}{2} m[/tex] = [tex] \frac{3}{2} m[/tex]
V (volume) = ?

Formula:
[tex]V = l*w*h[/tex]

Solving:
[tex]V = l*w*h[/tex]
[tex]V = \frac{9}{4} * \frac{7}{8} * \frac{3}{2} [/tex]
[tex]V = \frac{189}{64}m^3 [/tex]

Transforming into a mixed fraction:

.....................189 |_64 → denominator
numerator←(61)....2.→Whole part

Stays like this: [tex]2 \frac{61}{64} [/tex]

Therefore:
[tex]V = \frac{189}{64}m^3\:\longrightarrow\:\boxed{\boxed{V=2 \frac{61}{64}m^3 }}\end{array}}\qquad\quad\checkmark[/tex]

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