# Body volume - 8th grade (13y) - math problems

#### Number of problems found: 184

• Volume and body diagonal Calculate how much the volume and body diagonal of the cuboid decrease if we reduce each of its three edges a, b, c by 18%?
• Body diagonal Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
• Aquarium volume The aquarium has a cuboid shape and dimensions a = 0.3 m, b = 0.85 m, c =? , V = ?. What volume has a body, if after dipping into the aquarium water level rises by 28 mm?
• 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
• Special body Above each wall of a cube with an edge a = 30 cm, a regular quadrilateral pyramid with a height of 15 cm is constructed. Find the volume of the resulting body.
• 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.
• Hexa prism Determine the volume of hex prism with edge base 4 cm. The body height is 28 cm.
• Body diagonal - cube Calculate the surface and cube volume with body diagonal 15 cm long.
• 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.
• Angle of diagonal The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume.
• Cube diagonals Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm.
• Volume of sphere How many times does the volume of a sphere increase if its radius increases 2 ×?
• Triangular prism The perpendicular triangular prism is a right triangle with a 5 cm leg. The content of the prism's largest wall is 130 cm2, and the body height is 10 cm. Calculate the body volume.
• How many 9 How many percent volume remain of a sphere if diameter decrease 3×?
• Cube surface and volume Find the surface of the cube with a volume of 27 dm3.
• Area to volume If the surface area of a cube is 486, find its volume.
• Cube surface and volume The surface of the cube is 500 cm2, how much cm3 will be its volume?
• 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.
• Fe vs. H2O The volume of what the body of the same weight is greater - iron or water? The height of a regular quadrilateral prism is v = 10 cm, the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the volume of the prism.