# Body volume + Pythagorean theorem - math problems

#### Number of problems found: 113

• Body diagonal
Calculate the volume and surface of the cube if the body diagonal measures 10 dm.
• Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
• Body diagonal - cube
Calculate the surface and cube volume with body diagonal 15 cm long.
• 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.
• Regular hexagonal prism
Calculate the volume of a regular hexagonal prism whose body diagonals are 24cm and 25cm long.
• Hexa prism
Determine the volume of hex prism with edge base 4 cm. The body height is 28 cm.
• Triangular prism,
The regular triangular prism, whose edges are identical, has a surface of 2514 cm ^ 2 (square). Find the volume of this body in cm3 (l).
• Prism
Find the volume and surface area of prism with base of an equilateral triangle with side 7 dm long and the body height of 1.5 m.
• Cube diagonals
Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm.
• Concrete block
Determine the volume of concrete block whose one edge of the base has a length 3 meters, body diagonal is 13 meters and its height is 12 meters.
• Tetrahedron
Calculate height and volume of a regular tetrahedron whose edge has a length 4 cm.
• Cuboid - volume, diagonals
The length of the one base edge of cuboid a is 3 cm. Body diagonal is ut=13 cm and diagonal of cuboid's baseis u1=5 cm. What is the volume of the cuboid?
• Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long?
• Ratio of edges
The dimensions of the cuboid are in a ratio 3: 1: 2. The body diagonal has a length of 28 cm. Find the volume of a cuboid.
Given is a regular quadrangular pyramid with a square base. The body height is 30 cm and volume V = 1000 cm³. Calculate its side a and its surface area.
• Body diagonal
Calculate the volume of a cuboid whose body diagonal u is equal to 6.1 cm. Rectangular base has dimensions of 3.2 cm and 2.4 cm
• Surface and volume
Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long.
The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area.
• Cone
Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
• Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.

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Pythagorean theorem is the base for the right triangle calculator. Body volume - math word problems. Pythagorean theorem - math word problems.