# Quadrilateral pyramid

The height of a regular quadrilateral pyramid is 6.5 cm, and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body—round calculations to 1 decimal place.

### Correct answer:

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

**algebra**- expression of a variable from the formula
**arithmetic**- square root
**solid geometry**- pyramid
- surface area
**planimetrics**- Pythagorean theorem
- right triangle
- area of a shape
- triangle
- square
- diagonal
- quadrilateral
**numbers**- fractions
**goniometry and trigonometry**- tangent

#### Units of physical quantities:

#### Grade of the word problem:

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