# Triangular prism

Base of perpendicular triangular prism is a right triangle with leg length 5 cm. Content area of the largest side wall of its surface is 130 cm² and the height of the body is 10 cm. Calculate its volume.

Result

V =  300 cm3

#### Solution:

$a = 5 \ cm \ \\ h = 10 \ cm \ \\ S = 130 \ cm^2 \ \\ \ \\ c = S/h = 130/10 = 13 \ cm \ \\ b = \sqrt{ c^2-a^2 } = \sqrt{ 13^2-5^2 } = 12 \ cm \ \\ S_{ 2 } = a \cdot \ b/2 = 5 \cdot \ 12/2 = 30 \ cm^2 \ \\ V = S_{ 2 } \cdot \ h = 30 \cdot \ 10 = 300 = 300 \ cm^3$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### Following knowledge from mathematics are needed to solve this word math problem:

Pythagorean theorem is the base for the right triangle calculator. Tip: Our volume units converter will help you with the conversion of volume units. See also our trigonometric triangle calculator.

## Next similar math problems:

1. 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.
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. Triangular prism Calculate the volume of a triangular prism 10 cm high, the base of which is an equilateral triangle with dimensions a = 5 cm and height va = 4,3 cm
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. Pyramid height Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm.
6. Regular triangular pyramid Calculate the volume and surface area of the regular triangular pyramid and the height of the pyramid is 12 centimeters, the bottom edge has 4 centimeters and the height of the side wall is 12 centimeters
7. Hexa prism Determine the volume of hex prism with edge base 4 cm. The body height is 28 cm.
8. Square prism Calculate the volume of a foursided prism 2 dm high, the base is a trapezoid with bases 12 cm, 6 cm, height of 4 cm and 5 cm long arms.
9. Cone Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
10. Tetrahedral pyramid Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m.
11. Isosceles trapezoid Calculate the area of an isosceles trapezoid whose bases are in the ratio of 4:3; leg b = 13 cm and height = 12 cm.
12. Chord 2 Point A has distance 13 cm from the center of the circle with radius r = 5 cm. Calculate the length of the chord connecting the points T1 and T2 of contact of tangents led from point A to the circle.
13. Stairway Stairway has 20 steps. Each step has a length of 22 cm and a height of 15 cm. Calculate the length of the handrail of staircases if on the top and bottom exceeds 10 cm.
14. Equilateral triangle The equilateral triangle has a 23 cm long side. Calculate its content area. 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? The double ladder shoulders should be 3 meters long. What height will the upper top of the ladder reach if the lower ends are 1.8 meters apart? It is true that the middle traverse bisects the triangle?