Question

Find the value of p in the right triangular prism if the surface area is 457.25 in2.

Answer 1

@mathmale

Answer 2

The first thing I'd do would be to set up my own equation for the total area of the prism.

The ends are triangles, because this is a "right triangular prism." I'd find the area of one end and multiply that by 2 (because there are 2 ends). What is the formula for the area of a triangle of base b and height h? Are b and h given in the diagram?

Then I'd write expressions for the areas of each of the 3 sides. Since each side is a rectangle, the area would be (length)(width) for each one.

Try putting this all together.

Total
Area of ends Area of side 1 Area of side 2 Area of side 3 Total area
2( ? ) + 6.2p + ? ? 457.25

Combine like terms, add all terms together, and equate that sum to 457.25.

Solve for p.

Answer 3

Hint: i see that the hypo. of the triangle is not given. How will you calculate its length?

Answer 4

using pylagrathiums therm

Answer 5

Go for it, man! What would life be like without the Pythagorean Theorem?? Makes me shudder to think about something so horrible. :)

Answer 6

lol definatly

Answer 7

so P = 14.25