Area of a shape + expression of a variable from the formula - practice problems - page 33 of 35
Number of problems found: 689
- The quadrilateral pyramid
The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area. - A regular
A regular triangular prism with a base edge of 20 dm and a height of 30 dm is drawn. Find the volume of the prism and the area of the shell. - Calculate 81560
The cone's surface is 75.36 cm, and the radius is 3 cm. Calculate the volume of the cone. - Calculate 6635
Calculate the radius of the cylinder base if you know its volume V and height v. H = 300 cm³, h = 8 cm
- Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units. - Hexagonal pyramid
Find the volume of a regular hexagonal pyramid, the base edge 12 cm long and the side edge 20 cm. - Cylinder's 83288
Calculate the radius of the cylinder's base if its volume is equal to 12.56 cm². - 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. - Surface 67004
A block with a square base with an edge length of 4 dm has a surface area of 112 dm square. Find its height.
- Regular hexagonal prism
Calculate the volume of a regular hexagonal prism whose body diagonals are 24cm and 25cm long. - The funnel
The funnel has the shape of an equilateral cone. Calculate the area wetted with water if you pour 3 liters of water into the funnel. - Cylinder container
The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach? - Surface of the cylinder
Calculate the surface of the cylinder for which the shell area is Spl = 20 cm² and the height v = 3.5 cm - Cube wall
The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
- Calculate 82459
Calculate the depth of a pool that is 10 m long and 5 m wide if its volume is 65 m³ - Calculate 71324
Calculate the volume of a cube with a surface area of 1,795.74 cm2 - Hexagonal 6424
Calculate the volume and surface of a regular hexagonal prism, the base edge of which is 5 cm long and its height is 20 cm. - A concrete pedestal
A concrete pedestal has the shape of a right circular cone and a height of 2.5 feet. The diameters of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the pedestal's lateral surface area, total surface area, and volume. - Cuboid surface
Determine the surface area of the cuboid if its volume is 52.8 cm cubic and the length of the two edges are 2 cm and 6 cm.
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