Question

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

Answer 1

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