Question

The following formula is to find the surface area of an equilateral triangular prism, A = 3sH + sw Use the formula and the diagram on the right to answer the following: questions: 1) Solve the formula for's (side length of the base), show your work 2) If the surface area measures 75.4 inches square how much is the side length of the base? (Round the decimal to 2 places) You can work on a papen take a picture of your work and upload your work in here,

Answer 1

Part 1)
`s=(A)/((3H+w))`

Part 2)
`s=2.77\ in`

Explanation:

Part 1) Solve the formula to s

we have

`A=3sH+sw`

Solve for s

That means -----> isolate the variable s

Factor the variable s in the right side

`A=s(3H+w)`

Divide by (3H+w) both sides

`A/(3H+w)=s(3H+w)/(3H+w)`

Rewrite

`s=(A)/((3H+w))`

Part 2) If the surface area measures 75.4 inches square how much is the side length of the base?

`s=(A)/((3H+w))`

we have

`A=75.4\ in^2`

`H=8\ in`

`w=3.25\ in`

substitute

`s=(75.4)/((3(8)+3.25))`

`s=2.77\ in`