Tetrahedral prism

The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge, if you know that the prism volume is 2187 cm3.

Result

a =  9 cm

Solution:

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

Be the first to comment!

To solve this example are needed these knowledge from mathematics:

Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation?

Next similar examples:

1. Holidays - on pool
Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry?
2. Unknown number
Identify unknown number which 1/5 is 40 greater than one tenth of that number.
3. Fifth of the number
The fifth of the number is by 24 less than that number. What is the number?
4. Father and son
Father is 48 years old, son 23. When will be the father twice older than a son?
5. Mushrooms
For five days, we have collected 410 mushrooms. Interestingly every day we have collected 10 mushrooms more than the preceding day. How many mushrooms we have collected during 4th day?
6. Given
Given 2x =0.125 find the value of x
7. Candy
Peter had a sachet of candy. He wanted to share with his friends. If he gave them 30 candies, he would have 62 candies. If he gave them 40 candies, he would miss 8 candies. How many friends did Peter have?
8. Equation
Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
9. Simple equation
Solve for x: 3(x + 2) = x - 18
10. Simplify 2
Simplify expression: 5ab-7+3ba-9
11. Cargo
Car with cargo weight 7610 kg. Weight of car is 23% of the total weight of car and cargo. How heavy is cargo?
12. Roses
On the large rosary was a third white, half red, yellow quarter and six pink. How many roses was in the rosary?
13. Bakery and flour
The bakery tray for flour was filled to 3/4 volume. After removing 875 kg of flour, it was filled to only 2/5 of the volume. How many tons of flour is in the full tray?
14. Coach
Average age of 24 players and a coach of one team is 24 years. The average age of players without a coach is 23 years. How old is the coach?
15. Parking
120 vehicles parking on the morning. Pasenger car is charged 20 CZK, 50 CZK per bus. The guard collected for parking 2640 CZK in total. How many cars and how many buses stood in the parking?
16. Sale off
Product cost 95 euros before sale off. After sale off cost 74 euros and 10 cents. About what percentage of produt became cheaper?
17. Unknown number
Determine the unknown number, which double of its fourth square is equal the fifth its square.