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 (1)/(4) m` =
`(9)/(4)m`
w (widht) =
`(7)/(8)m`
h (height) =
`1 (1)/(2) m` =
`(3)/(2) m`
V (volume) = ?

Formula:

`V = l*w*h`

Solving:

`V = l*w*h`

`V = (9)/(4) * (7)/(8) * (3)/(2)`

`V = (189)/(64)m^3`

Transforming into a mixed fraction:

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

Stays like this:
`2 (61)/(64)`

Therefore:

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