Question

The volume of this triangular prism is 1,840.8 cubic feet. What is the value of j?20 ft11.8 ftJ=___feet

Answer 1

Let's remember the formula of the volumen of a triangular prism:

`\text{Volumen}=(((base)\cdot(j))/(2))\cdot(wid\ldots)`

Note that

`\text{base}=20ft,\text{ width}=11.8ft,\text{ Volumen}=1840.8ft^3`

Now, we just need to replace these specific values in the formula and solve it for j. After replacing we get:

`1840.8=((20\cdot j)/(2))\cdot11.8`

Let's solve it.

`(1840.8)/(11.8)=(20\cdot j)/(2)`
`156=(20\cdot j)/(2)`
`156\cdot2=20\cdot j`
`312=20\cdot j`
`(312)/(20)=j`
`j=15.6ft`

The process to solve this exercise was:

1. Remembering the equation of a triangular prism (you can memorize this formula thinking of it as the product of the area of the lateral triangle with the width).

2. To replace the known values in the equation.

3. Solve the equation for the unknown (requested) value. (in this case was j (the high of the lateral triangle)).