We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has a content of 10 cm2. Find the area of the original pyramid.
Thank you for submitting an example text correction or rephasing. We will review the example in a short time and work on the publish it.
Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):
Showing 0 comments:
Be the first to comment!
Tips to related online calculators
Following knowledge from mathematics are needed to solve this word math problem:
Next similar math problems:
- Right pyramid
A right pyramid on a base 4 cm square has a slant edge of 6 cm. Calculate the volume of the pyramid.
Calculate height and volume of a regular tetrahedron whose edge has a length 18 cm.
Calculate area of the quatrefoil which is inscribed in a square with side 6 cm.
- Content area and percents
Determine what percentage is smaller cube surface, when the surface area of the wall decreases by 25%.
- Cube corners
From cube of edge 14 cm cut off all vertices so that each cutting plane intersects the edges 1 cm from the nearest vertice. How many edges will have this body?
The temporary workers planted new trees. Of the total number of 500 seedlings, they managed to plant 426. How many percents did they meet the daily planting limit?
- 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?
- Theorem prove
We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
- Profit gain
If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
Researchers ask 200 families whether or not they were the homeowner and how many cars they had. Their response was homeowner: 14 no car or one car, two or more cars 86, not homeowner: 38 no car or one car, two or more cars 62. What percent of the families
- Cube edges
If the edge length of the cube increases by 50%, how does the volume of this cube increase?
Iva added one liter of 100% fruit juice to 3 liters of water. She left two liters of it for Alice and Beata. She added two more liters of water to the remain two liters of lemonade and offered it to other friends. a. What percentage of juice did Alena an
- Diameters of circles
How many percent of the area of a larger circle is a smaller circle if the smaller circle has a diameter 120 mm and a larger one has a diameter 300 mm?
- The edge of a cube
How much does the edge of a cube of 54.9 cm3 measure?
- Cuboid edges in ratio
Cuboid edges lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm3.
The must is sold in 5-liter and 2-liter bottles. Mr Kucera bought a total of 216 liters in 60 bottles. How many liters did Mr. Kucera buy in five-liter bottles?
Determine the coefficient of this sequence: 7.2; 2.4; 0.8