# Volume + surface area - math problems

#### Number of problems found: 263

• Rotary cylinder In the rotary cylinder it is given: surface S = 96 cm2 and volume V = 192 cm cubic. Calculate its radius and height.
• Pentagonal pyramid The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid.
• Truncated cone Find the volume and surface area of the truncated cone if r1 = 12 cm, r2 = 5 cm and side s = 10 cm.
• Cuboid - ratio Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm2.
• Hexaprism container Calculate the volume and surface in the shape of a regular hexagonal prism with a height of 1.4 m with a base edge of 3dm and a corresponding height of 2.6 dm.
• Prism height What is the prism's height with the base of a right triangle of 6 cm and 9 cm? The diaphragm is 10.8 cm long. The volume of the prism is 58 cm3. Calculate its surface.
• Hard cone problem The surface of the cone is 200 cm², its height is 7 centimeters. Calculate the volume of this cone.
• The cone - S,V Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
• Průměr kužele Vypočtěte povrch a objem rotačního kužele jehož průměr je 60mm a délka strany 3.4 cm.
• Iglu - cone tent The cone-shaped tent is 3 m high, the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m2 of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste? b)
• The cube The cube has a surface of 600 cm2. What is its volume?
• Flowerpot The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to
• Pentagonal pyramid Find the volume and surface of a regular pentagonal pyramid with a base edge a = 12.8 cm and a height v = 32.1 cm.
• Wooden bowls 20 wooden bowls in the shape of a truncated cone should be painted on the outside and inside with wood varnish. We need 0.1 l of paint to paint 200 cm2. How many liters of paint do we have to buy if the bowls are 25 cm high, the bottom of the bowl has a d
• Cuboid diagonals The cuboid has dimensions of 15, 20 and 40 cm. Calculate its volume and surface, the length of the body diagonal and the lengths of all three wall diagonals.
• Find the Find the surface area of a regular quadrilateral pyramid which has a volume of 24 dm3 and a height of 45 cm.
• Diver Please calculate using Pascal's law. The window of the diving helmet has a surface content of about 7dm2. Calculate what pressure force acts on the window at a depth of 20 meters below the water surface. 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.
• Surface of the cone Calculate the surface of the cone if its height is 8 cm and the volume is 301.44 cm3.
• Volume of the cone Calculate the volume of the cone if the content of its base is 78.5 cm2 and the content of the shell is 219.8 cm2.

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