Triangular prism

Calculate the volume and surface area of a triangular prism if it is given:
a = 6.8 dm. ..Va = 4 dm. (base edge length and base triangle height length) ... ... .v = 23 dm (body height)


V =  312.8 dm3
S =  496.4 dm2


a=6.8 dm v1=4 dm v2=23 dm S1=a v1/2=6.8 4/2=685=13.6 V=S1 v2=13.6 23=15645=312.8 dm3a=6.8 \ \text{dm} \ \\ v_{1}=4 \ \text{dm} \ \\ v_{2}=23 \ \text{dm} \ \\ S_{1}=a \cdot \ v_{1} / 2=6.8 \cdot \ 4 / 2=\dfrac{ 68 }{ 5 }=13.6 \ \\ V=S_{1} \cdot \ v_{2}=13.6 \cdot \ 23=\dfrac{ 1564 }{ 5 }=312.8 \ \text{dm}^3
S2=(a+a+a) v2=(6.8+6.8+6.8) 23=23465=469.2 S=2 S1+S2=2 13.6+469.2=24825=496.4 dm2S_{2}=(a+a+a) \cdot \ v_{2}=(6.8+6.8+6.8) \cdot \ 23=\dfrac{ 2346 }{ 5 }=469.2 \ \\ S=2 \cdot \ S_{1} + S_{2}=2 \cdot \ 13.6 + 469.2=\dfrac{ 2482 }{ 5 }=496.4 \ \text{dm}^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...):

Showing 0 comments:
1st comment
Be the first to comment!

Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.
See also our trigonometric triangle calculator.

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Triangular prism
    hranol_3bokovy 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.
  2. Triangular prism
    hranol_5 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.
  3. Triangular prism
    prism3 Calculate the surface of a triangular prism with the base of an equilateral triangle with a side length of 7.5 cm and a corresponding height of 6.5 cm. Prism height is 15cm.
  4. Regular triangular pyramid
    3sidespyramid_1 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
  5. Prism - eq triangle
    prism-3sides_1 Calculate the volume and surface of the prism with the base of an equilateral triangle with side a = 4cm and the body height is 6cm.
  6. Prism
    rhombic_prism Calculate the surface area and volume of a prism with a body height h = 10 cm and its base has shape of a rhomboid with sides a = 5.8 cm, b = 3 cm and the distance of its two longer sides is w = 2.4 cm.
  7. Square prism
    lichob_2 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.
  8. Scale factor
    cuboid_7 A prism with a volume of 1458 mm3 is scaled down to a volume of 16mm3. What is the scale factor in fraction form?
  9. Cylinder surface area
    cylinder_2 Volume of a cylinder whose height is equal to the radius of the base is 678.5 dm3. Calculate its surface area.
  10. Cylinder - basics
    cylinder Cylinder with base radius r = 45 dm and height h=22 dm. Calculate:
  11. Cube volume
    cube6 The cube has a surface of 384 cm2. Calculate its volume.
  12. Cone area and side
    cone_2 Calculate the surface area and volume of a rotating cone with a height of 1.25 dm and 17,8dm side.
  13. Metal rails
    22 Dad needs to improve the edges of the wooden boxes - to be reinforced with metal rails. How many cms of rails will he need if the box has the shape of a prism with the length of the edges 70cm 70cm and 120cm?
  14. Castle model
    kuzel2 The castle model has a cone-shaped roof. The cone side is 45 cm long and the base radius is 27 cm. a) What is the roof volume? b) How many dm2 of wallpaper is used to glue the roof, ie the cone shell? c) What is the weight of the roof if it is made of wo
  15. Fit ball
    fitball What is the size of the surface of Gymball (FIT - ball) with a diameter of 65 cm?
  16. Center traverse
    trianles It is true that the middle traverse bisects the triangle?
  17. Circles
    three-circles Three circles of radius 95 cm 78 cm and 64 cm is mutually tangent. What is the perimeter of the triangle whose vertices are centers of the circles?