Question

The volume of this rectangular prism is 6,080 cubic milimeters what is the value of y

Answer 1

Answer:

The value of y = 20

Step-by-step explanation:

Given:

Volume of the rectangular prism = 6080 mm³

let the length = y = ?

width = 16 mm

height = 19 mm

To find the value of y, we will apply the volume of a rectangular prism:

`\begin{gathered} Volum\text{e of a rectangular prism = l }*\text{ w}* h \\ l\text{ = length} \\ w\text{ = width} \\ h\text{ = height} \end{gathered}`

Substitute the values into the formula:

`\begin{gathered} Volume\text{ = y }*\text{ 16 }*\text{ }19 \\ 6080\text{ = y }*\text{16 }*\text{ 19} \\ 6080\text{ = 304y} \end{gathered}`

divide both sides by 304:

`\begin{gathered} y\text{ = }(6080)/(304) \\ y\text{ = 20} \end{gathered}`

The value of y = 20 mm