# Body volume + Pythagorean theorem - examples - page 4

The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area.
2. Body diagonal - cube
Calculate the surface and cube volume with body diagonal 15 cm long.
3. Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
4. Slant height
The slant height of cone is 5cm and the radius of its base is 3cm, find the volume of the cone
5. Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
6. Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long?
7. Axial cut of a rectangle
Calculate the volume and surface of the cylinder whose axial cut is a rectangle 15 cm wide with a diagonal of 25 cm long.
8. Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm.
9. Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m.
10. The diagram 2
The diagram shows a cone with slant height 10.5cm. If the curved surface area of the cone is 115.5 cm2. Calculate correct to 3 significant figures: *Base Radius *Height *Volume of the cone

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Pythagorean theorem is the base for the right triangle calculator.