Pyramid cut
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 an area of 10 cm2. Find the area of the original pyramid.
Correct answer:
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Tip: Our volume units converter will help you convert volume units.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- geometry
- similarity of triangles
- algebra
- expression of a variable from the formula
- arithmetic
- cube root
- third power
- solid geometry
- similarity bodies
- pyramid
- planimetrics
- area of a shape
- triangle
- square
- basic functions
- percentages
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
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