Volume + area - practice problems - page 34 of 40
Number of problems found: 793
- Traffic cones
Forty identical traffic cones with a base diameter d = 3 dm and a height v = 6 dm should be painted on the outside with orange paint (without base). How many crowns do we pay for color? If we need 50 cm³ of paint to paint, 1m² and 1l of paint cost CZK 80? - Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm. - Cube diagonals
Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm. - Two-thirds 3388
The kneaded cake dough has a volume of 1.8 l. When baking, it increases its volume by about two-thirds. Can a baked wheel fit on a baking sheet measuring 36x30x8cm? How tall will the cake be after baking?
- Cuboid and ratio
A cuboid has dimensions in a ratio of 1:2:6, and the surface area of the cuboid is 1000 dm². Calculate the volume of the cuboid. - Cone
The rotating cone volume is 9.42 cm3, with a height of 10 cm. What angle is between the side of the cone and its base? - Hexagonal pyramid
Regular hexagonal pyramid has dimensions: length edge of the base a = 1.8 dm and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid. - Circumference 3370
Calculate the surface and volume of the rotating cone, whose base circumference is 125.6 cm and the side is 25 cm long. - Increase 3302
The cube has an edge of 70 dm long. How many times does the volume and surface of the cube increase if we enlarge its edge four times?
- Prism
Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm. - Copper plate
Calculate the thickness of the copper plate with a density of 8.7 g/cm³ measuring 1.5 meters and 80 cm, and its weight is 3.65 kg. - Surface 3154
The cube's edge, the volume of which is 58.3% of its surface, is a) 3.5cm, b) 4.5cm, c) 2.5cm d) 1.5cm. - Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism. - The cube
The cube has a surface area of 486 m². Calculate its volume.
- Calculate 3052
Calculate the volume and area of the cube with the length of the edge a) 5m b) 32 mm c) 4.5 dm - Cone area and side
Calculate a rotating cone's surface area and volume with a height of 1.25 dm and 17,8dm side. - Cylinder surface area
The volume of a cylinder whose height is equal to the radius of the base is 678.5 dm³. Calculate its surface area. - Hexagonal pyramid
Calculate the volume and the surface of a regular hexagonal pyramid with a base edge length of 3 cm and a height of 5 cm. - Octahedron
All walls of the regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron.
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