# 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 cm

^{2}. 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:

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