# Hexa prism

Determine the volume of hex prism with edge base 4 cm. The body height is 28 cm.

Result

V =  1163.938 cm3

#### Solution:

$a = 4 \ cm \ \\ v = 28 \ cm \ \\ \ \\ S_{ 1 } = \dfrac{ \sqrt{ 3 } }{ 4 } \cdot \ a^2 = \dfrac{ \sqrt{ 3 } }{ 4 } \cdot \ 4^2 = 4 \ \sqrt{ 3 } \ cm^2 \doteq 6.9282 \ cm^2 \ \\ S = 6 \cdot \ S_{ 1 } = 6 \cdot \ 6.9282 = 24 \ \sqrt{ 3 } \ cm^2 \doteq 41.5692 \ cm^2 \ \\ \ \\ V = v \cdot \ S = 28 \cdot \ 41.5692 \doteq 1163.9381 = 1163.938 \ cm^3$

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.

## Next similar math problems:

1. Hexagonal prism The base of the prism is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Calculate the volume and surface of the prism!
2. 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.
3. 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.
4. 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.
5. Hexagonal pyramid Calculate the volume and the surface of a regular hexagonal pyramid with a base edge length of 3 cm and a height of 5 cm.
6. 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.
7. Cylinder surface area Volume of a cylinder whose height is equal to the radius of the base is 678.5 dm3. Calculate its surface area.
8. Cube volume The cube has a surface of 384 cm2. Calculate its volume.
9. Common chord Two circles with radius 17 cm and 20 cm are intersect at two points. Its common chord is long 27 cm. What is the distance of the centers of these circles?
10. Cone 15 The radius of the base of a right circular cone is 14 inches and it's height 18 inches. What is the slant height?
11. Broken tree The tree was 35 meters high. The tree broke at a height of 10 m above the ground. Top but does not fall off it refuted on the ground. How far from the base of the tree lay its peak? 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? A tree at a height of 3 meters broke in the windbreak. Its peak fell 4.5 m from the tree. How tall was the tree? 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. Sanusha buys a piece of satin 2.4 m wide. The diagonal length of the fabric is 4m. What is the length of the piece of satin? 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? Calculate the area of ​​what may vary rectangular, if it focused by surveyor and found the dimensions 18 x 15 m while in each of the four joint points can be position deviation 25 cm?