# Volume + area - math problems

#### Number of problems found: 364

• Tereza
The cube has an area of base 256 mm2. Calculate the edge length, volume, and area of its surface.
• Pool
Mr. Peter builds a pool shape of a four-sided prism with a rhombus base in the garden. Base edge length is 8 m, the distance of the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water consume Mr. Peter to fill t
• Prism
Right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube'
• Pillar
Calculate volume of pillar shape of a regular tetrahedral truncated pyramid, if his square have sides a = 19, b = 27 and height is h = 48.
• Cube zoom
How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %?
• Cylinders
The area of the side of two cylinders is the same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume and by how much?
• Rectangular cuboid
The rectangular cuboid has a surface area 5334 cm2, and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid.
• Cone
Circular cone of height 15 cm and volume 5699 cm3 is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut.
• Cubes
One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 257 mm2.
• Axial section
The axial section of the cone is an equilateral triangle with area 168 cm2. Calculate the volume of the cone.
• Cone A2V
The surface of the cone in the plane is a circular arc with central angle of 126° and area 415 cm2. Calculate the volume of a cone.
• Rotation
The right triangle with legs 11 cm and 18 cm rotate around the longer leg. Calculate the volume and surface area of the formed cone.
• Sphere
The surface of the sphere is 12100 cm2, and the weight is 136 kg. What is its density?
• Rainfall
Annual rainfall in our country is an average of 797 mm. How many m3 of water rains on average per hectare?
• Special cube
Calculate the edge of cube, if its surface and its volume is numerically equal number.
• Cube
The sum of lengths of cube edges is 57 cm. What is its surface and volume?
• Pipes
The water pipe has a cross-section 1087 cm2. An hour has passed 960 m3 of water. How much water flows through the pipe with cross-section 300 cm2 per 9 hours if water flows the same speed?
• Sphere slices
Calculate the volume and surface of a sphere if the radii of parallel cut r1=31 cm, r2=92 cm, and its distance v=25 cm.
• Copper sheet
The copper plate has a length of 1 m, width 94 cm and weighs 9 kg. What is the plate thickness, if 1 m3 weighs 8715 kg?
• Cylinder - A&V
The cylinder has a volume 1287. The base has a radius 10. What is the area of the surface of the cylinder?

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