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 this math problem 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 math problems:

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. Number 118 divide into two addends, so first addend is 69 greater than 75% of the second addend.
4. Fifth of the number The fifth of the number is by 24 less than that number. What is the number?
5. Father and son Father is 48 years old, son 23. When will be the father twice older than a son?
6. Sale discount The product was discounted so that eight products at a new price cost just as five products at an old price. How many percents is the new price lower than the old price?
7. Ethnicity Share of ethnicity XY is 26%, which is 1/9 more than in the prewar period. What was the share of that ethnicity in the pre-war period?
8. Simplify 2 Simplify expression: 5ab-7+3ba-9
9. Simple equation Solve for x: 3(x + 2) = x - 18
10. Given Given 2x =0.125 find the value of x
11. 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?
12. Equation Solve the equation: 1/2-2/8 = 1/10; Write the result as a decimal number.
13. Vacation Smiths paid a deposit for a vacation of two-sevenths of the total price of the vacation. Then paid also € 550. How much cost their vacation?
14. 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?
15. 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?
16. Sphere fall How many percent fall volume of sphere if diameter fall 10×?
17. 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?