Area + surface area - practice problems - page 40 of 49
Number of problems found: 977
- Cube walls
Find the volume and surface area of the cube if the area of one wall is 40 cm². - Quadrangular prism
The regular quadrangular prism has a base edge of 7.1 cm and a side edge of 18.2 cm long. Calculate its volume and surface area. - Rotary bodies
The rotating cone and the rotary cylinder have the same volume of 180 cm³ and the same height, v = 15 cm. Which of these two bodies has a larger surface area? - Pyramid four sides
A regular tetrahedral pyramid has a body height of 38 cm and a wall height of 42 cm. Calculate the surface area of the pyramid; the result is round to square centimeters.
- Sphere vs cube
How much % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere? - Cube walls
The wall of the cube has an area of 8 cm square. The surface of the cube is how many square cm? - Wall height
Calculate the surface and volume of a regular quadrangular pyramid if side a = 6 cm and wall height v = 0.8dm. - Dimensions 3408
The room has dimensions of 4m, 5m, and 2.4m. Suppose one can is enough to paint 10 m². How many cans of paint are needed to paint the walls and ceiling of this room? - Axial cut
The cone surface is 388.84 cm2, and the axial cut is an equilateral triangle. Find the cone volume.
- Pyramid 4sides
Calculate the volume and the surface of a regular quadrangular pyramid when the edge of the base is 4 cm long and the pyramid's height is 7 cm. - Support colum
Calculate the support column's volume and surface, which is shaped as a vertical quadrangular prism whose base is a rhombus with diagonals u1 = 102 cm and u2 = 64 cm. Column height is 1. 5m. - 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.
- Pyramid
The pyramid has a base rectangle with a = 6cm, b = 8cm. The side edges are the same, and their length is 12.5 cm. Calculate the surface of the pyramid. - 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. - The road
The road roller has a diameter of 1.2 m and a width of 180 cm. How many m² of the road does it level when it turns 35 times? - 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.
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