Unit conversion + surface area - practice problems - page 9 of 10
Number of problems found: 200
- Height as diameter of base
The rotary cylinder has a height equal to the base diameter and a surface of 471 cm². Calculate the volume of a cylinder. - Determine 82032
Determine the volume and surface area of a cone whose slope of length 8 cm makes an angle of 75 degrees with the plane of the base. - Glass aquarium
How many m² of glass are needed to produce an aquarium with bottom dimensions of 70 cm x 40 cm and 50 cm high? - Bottom 3129
How many m² tiles do we need to line the walls and bottom of the pool in the shape of a block 25 m long, 10 m wide, and 180 cm deep?
- Surface and volume od cuboid
The area of the square base of the cuboid is Sp = 36 cm², and its height is 80 mm. Determine its surface area and volume. - Half-cylinder 25121
How much sheet metal do we use to produce a gutter pipe in the shape of a hollow half-cylinder 20 m long and 16 cm wide if we count 8% for bending and welding? - Circumference 30781
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head circumference is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - Big Earth
What percentage of the Earth's surface is seen by an astronaut from a height of h = 350 km? Take the Earth as a sphere with a radius R = 6370 km. - Calculate
Calculate the surface of a regular quadrilateral prism whose base edge is 2.4dm and the height of the prism is 38cm.
- Quadrilateral 8060
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. Find the surfaces of both bodies. - Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°? - Tetrahedral prism
Calculate the area and volume of a tetrahedral prism that has a base rhomboid shape, and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm. - Calculate 82567
The volume of a cuboid with a square base is 64 cm3, and the body diagonal deviation from the base's plane is 45 degrees. Calculate its surface area. - Length 6235
Length 25m, width 10m, depth 160 cm. How many square meters are needed to line the pool?
- Deviation 70744
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30 ° from the base plane. - 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. - Rotary cone
The volume of the rotation of the cone is 967 cm³. The angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone. - Deformation 6260
The carpet is wound on a cardboard roll in the shape of a cylinder with a diameter of d=12cm and a length of l=2m. The rolled-up carpet has an outer diameter of D=38cm, and the thickness of the rug is 8mm. What area can the carpet cover after unfolding? D - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle
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