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 verbal math problem 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. 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?
5. Simple equation
Solve for x: 3(x + 2) = x - 18
6. Given
Given 2x =0.125 find the value of x
7. Equation
Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
8. Simplify 2
Simplify expression: 5ab-7+3ba-9
9. 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?
10. Cows
Agricultural cooperative has increased the number of housed cows by 14% to 285 units. By how many cows increased agricultural cooperative the number of cows?
11. 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?
12. Sales off
The price has decreased by 20%. How many percents do I have to raise the new price to be the same as before the cut?
13. Percentage reduction
Reducing the unknown number by 19% get number 700.7 Determine unknown number.
14. The price
The price of the land increased by 17%. What was the original price of the land if it now costs 46800 €?
15. Apples 2
How many apples were originally on the tree, if the first day fell one third, the second day quarter of the rest and on tree remained 45 apples?
16. 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?
17. Sphere fall
How many percent fall volume of sphere if diameter fall 10×?