# Pyramid in cube

In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid.

## Correct answer:

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See also our right triangle calculator.

See also our trigonometric triangle calculator.

### You need to know the following knowledge to solve this word math problem:

**algebra**- expression of a variable from the formula
**solid geometry**- cube
- pyramid
- surface area
**planimetrics**- Pythagorean theorem
- right triangle
- triangle

### Units of physical quantities:

### Grade of the word problem:

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