# Triangular prism

The base perpendicular triangular prism is a right triangle whose hypotenuse measures 5 cm and one cathetus 2 cm. Height of the prism is equal to 7/9 of the perimeter of the base. Calculate the surface area of prism.

Result

S =  113.5 cm2

#### Solution:

$b = \sqrt{ 5 ^2 - 2^2 } = 4.583 \ cm \ \\ h = 7/9\cdot ( 2+ 4.583 + 5 ) = 9.009 \ cm \ \\ S = 2S_1 + S_2 + S_3 + S_4 \ \\ S = 2 \cdot \dfrac{ab}{2} + ah + bh+ ch \ \\ S = ab + h(a + b+ c) \ \\ S = 2 \cdot 4.583 + 9.009( 2 + 4.583 + 5) \ \\ S = 113.5 \ \text{cm}^2$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

Tips to related online calculators

## Next similar math problems:

1. Roller
Cylinder shell has the same content as one of its base. Cylinder height is 15 dm. What is the radius of the base of the cylinder?
2. Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
3. Rectangle Anton
Difference between length and width of the rectangle is 8. Length is 3-times larger than the width. Calculate the dimensions of the rectangle.
4. Three workshops
There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
5. Sequence
Write the first 6 members of these sequence: a1 = 5 a2 = 7 an+2 = an+1 +2 an
6. Rectangle - sides
What is the perimeter of a rectangle with area 266 cm2 if length of the shorter side is 5 cm shorter than the length of the longer side?
7. Chords
How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
8. Blocks
There are 9 interactive basic building blocks of an organization. How many two-blocks combinations are there?
9. Percent change
If the length of a rectangle is increased by 25% and the width is decreased by 10%, the area of the rectangle is larger than the area of the original rectangle by what percent?
10. Three unknowns
Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0
11. Elimination method
Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
12. Confectionery
The village markets have 5 kinds of sweets, one weighs 31 grams. How many different ways a customer can buy 1.519 kg sweets.
13. Teams
How many ways can divide 16 players into two teams of 8 member?
14. Sequence
Write the first 7 members of an arithmetic sequence: a1=-3, d=6.
15. Line
It is true that the lines that do not intersect are parallel?
16. Sequence 2
Write the first 5 members of an arithmetic sequence a11=-14, d=-1
17. AP - simple
Determine the first nine elements of sequence if a10 = -1 and d = 4