# Regular prism

The regular four-sided prism has a base of 25 cm2 and a surface of 210 cm2. Find its volume.

Result

V =  200 cm2

#### Solution:

$S_{1}=25 \ \text{cm}^2 \ \\ S=210 \ \text{cm}^2 \ \\ \ \\ a=\sqrt{ S_{1} }=\sqrt{ 25 }=5 \ \text{cm} \ \\ \ \\ S=2 \cdot \ S_{1} + 4av \ \\ \ \\ v=(S-2 \cdot \ S_{1} )/ (4 \cdot \ a)=(210-2 \cdot \ 25 )/ (4 \cdot \ 5)=8 \ \text{cm} \ \\ \ \\ V=S_{1} \cdot \ v=25 \cdot \ 8=200 \ \text{cm}^2$

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
Tip: Our volume units converter will help you with the conversion of volume units.

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

The surface of the regular quadrilateral prism is 8800 cm2, the base edge is 20 cm long. Calculate the volume of the prism
2. The regular
The regular quadrilateral pyramid has a volume of 24 dm3 and a height of 45 cm. Calculate its surface.
3. Square prism
A square prism has a base with a length of 23 centimeters, what is the area in square centimeters of the base of the prism?
4. Flowerbed
The flowerbed has a length 3500mm and a width 1400mm. How many foil is needed to covers the flowerbed? How many m2 of foil was consumed for its production (add 10% of the material to the joint and waste)? How many liters of air is inside the enclosure? (
5. Rectangular prism
If i have a rectangular prism with a length of 1,000 cm, width of 30 cm and a height of 50 cm, what is the volume?
6. Rotary cylinder 2
Base circumference of the rotary cylinder has same length as its height. What is the surface area of cylinder if its volume is 250 dm3?
7. Greenhouse
Garden plastic greenhouse is shaped half cylinder with a diameter of 6 m and base length 20 m. At least how many m2 of plastic is need to its cover?
8. Volume of the cone
Find the volume of the cone with the base radius r and the height v. a) r = 6 cm, v = 8 cm b) r = 0,9 m, v = 2,3 m c) r = 1,4 dm, v = 30 dm
9. A square base
A solid right pyramid has a square base. The length of the base edge is 4 centimeters and the height of the pyramid is 3 centimeters. What is the volume of the pyramid?
10. Cube walls
Find the volume and the surface area of the cube if the area of one of its walls is 40 cm2.
11. Cuboid - Vab
Find the surface of the cuboid when its volume is 52.8 cubic centimeters, and the length of its two edges is 2 centimeters and 6 centimeters.
12. Sphere VS
Find the surface and volume of a sphere that has a radius of 2 dm.
13. Cube
The sum of all cube edges is 30cm. Find the surface area of the cube.
14. Cube 1-2-3
Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
15. Simplify 2
Simplify expression: 5ab-7+3ba-9
16. Simple equations
Solve system of equations: 5x+3y=5 5x+7y=25
17. Greg and Bill
Greg is 18 years old. He is 6 less than 4 times Bill's age. How old is Bill?