# Pythagorean theorem + volume - math problems

#### Number of problems found: 155

• Right pyramid A right pyramid on a base 4 cm square has a slanted edge of 6 cm. Calculate the volume of the pyramid.
• 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.
• Cube diagonals Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
• Two balls Two balls, one 8cm in radius and the other 6cm in radius, are placed in a cylindrical plastic container 10cm in radius. Find the volume of water necessary to cover them.
• Slant height The cone's slant height is 5cm, and the radius of its base is 3cm, find the volume of the cone.
• 3s prism It is given a regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm. Calculate the volume of the prism.
• Triangular pyramid What is the volume of a regular triangular pyramid with a side 3 cm long?
• Pyramid height Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm.
• The volume The volume of the cone is 94.2 dm³, the radius of the base is 6 dm. Calculate the surface of the cone.
• Cone Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
• The conical The conical candle has a base diameter of 20 cm and a side of 30 cm. How much dm ^ 3 of wax was needed to make it?
• Tetrahedron Calculate height and volume of a regular tetrahedron whose edge has a length 6 cm.
• Hexagon cut pyramid Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm.
• Secret treasure Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure.
• Solid cuboid A solid cuboid has a volume of 40 cm3. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has a length of 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig.

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Tip: Our volume units converter will help you with the conversion of volume units. Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - math problems. Volume - math problems.