# Vertical prism

The base of vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism

Result

S =  960 cm2
V =  900 cm3

#### Solution:  Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments: Be the first to comment! #### To solve this example are needed these knowledge from mathematics:

Pythagorean theorem is the base for the right triangle calculator. Tip: Our volume units converter will help you with converion of volume units.

## Next similar examples:

1. Rhombus base Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 12 cm and u2 = 10 cm. Prism height is twice base edge length.
2. Triangular prism Calculate the surface area and volume of a triangular prism, base right triangle if a = 3 cm, b = 4 cm, c = 5 cm and height of prism h=12 cm.
3. 3s prism It is given a regular perpendicular triangular prism with a height 19.0 cm and a base edge length 7.1 cm. Calculate the volume of the prism.
4. Triangular prism The perpendicular triangular prism is a right triangle with a 5 cm leg. The content of the largest wall of the prism is 130 cm2 and the body height is 10 cm. Calculate the body volume.
5. Triangular pyramid Calculate the volume and surface area of a regular triangular pyramid whose height is equal to the length of the base edges 10 cm.
6. 4s pyramid Regular tetrahedral pyramid has a base edge a=17 and collaterally edge length b=32. What is its height?
7. Cylinder - A&V The cylinder has a volume 1287. The base has a radius 10. What is the area of surface of the cylinder?
8. Thales Calculate the length of the Thales' circle described to right triangle with hypotenuse 18.4 cm.
9. Truncated cone 5 The height of a cone 7 cm and the length of side is 10 cm and the lower radius is 3cm. What could the possible answer for the upper radius of truncated cone?
10. Distance Wha is the distance between the origin and the point (18; 22)?
11. Double ladder The double ladder is 8.5m long. It is built so that its lower ends are 3.5 meters apart. How high does the upper end of the ladder reach?
12. Chord circle The circle to the (S, r = 8 cm) are different points A, B connected segment /AB/ = 12 cm. AB mark the middle of S'. Calculate |SS'|. Make the sketch.
13. Cone area and side Calculate the surface area and volume of a rotating cone with a height of 1.25 dm and 17,8dm side.
14. Gasholder The gasholder has spherical shape with a diameter 20 m. How many m3 can hold in?
15. Tetrahedron Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm.
16. Theorem prove We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
17. Cube volume The cube has a surface of 384 cm2. Calculate its volume.