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

Verified Answer :

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

Formula:
\(V = l*w*h\)

Solving:
\(V = l*w*h\)
\(V = \frac{9}{4} * \frac{7}{8} * \frac{3}{2}\)
\(V = \frac{189}{64}m^3\)

Transforming into a mixed fraction:

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

Stays like this: \(2 \frac{61}{64}\)

Therefore:
\(V = \frac{189}{64}m^3\:\longrightarrow\:\boxed{\boxed{V=2 \frac{61}{64}m^3 }}\end{array}}\qquad\quad\checkmark\)