Area of a shape + fractions - practice problems - page 15 of 16
Number of problems found: 310
- Sphere
The sphere's surface is 28500 cm², and the weight is 34.2 kg. What is its density?
- Quadrangular 64564
The surface of the quadrangular block is 3.4 dm². The edges of the figure are 8cm and 10cm long. Calculate the volume of the prism.
- Parameters 28521
The basic parameters of the rotating cone are: Base radius 5 cm The cone height is 12 cm, and the cone side is 13 cm. Calculate: a/volume of the cone b/cone surface
- Perpendiculars 17003
What is the hole volume drilled by the drill in the shape of a right triangle that revolves around a longer perpendicular? The perpendiculars of the triangle are 10 cm and 3 cm long.
- Approximately 5553
The Earth's surface is approximately 510,000,000 km². The forest area is about 38,000,000 km². Write a fraction in the basic form. What part of the Earth's surface is formed by the forest?
- A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and
- Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap).
- Cuboid box
How much m² paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm, and 30 cm? To the folds, add one-tenth the area.
- Calculation 81405
Sketch the mesh of a cylinder whose base radius to height ratio is 2 : 3. Calculate the volume and surface of the cylinder if its height is 9 cm (sketch, calculation, answer).
- Dimensions 36001
The aquarium has the shape of a block with dimensions a = 40cm, b = 15cm, c = 30cm. The aquarium is two-thirds full of water. Calculate the area of wet walls of the aquarium.
- Water-wetted 35193
The block-shaped pool with dimensions of 25 m and 12.5 m and a depth of 2 m is filled with 4/5 of water. Calculate the area of water-wetted areas.
- Pyramid of Giza
The Great Pyramid of Giza is shaped like a regular quadrangular pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t?
- Inscribed 81949
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area.
- Calculate 73434
Calculate the volume and surface area of the cone with a diameter of 20 cm and a height of 15 cm.
- Substantial 65114
Calculate the volume of a regular triangular prism with a substantial edge length of 8 cm and a prism height of 17 cm.
- Equilateral 73374
The axial section of the cone is an equilateral triangle with a side of 12 cm. Surface and volume calculation.
- 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.
- Axial section
The axial section of the cone is an equilateral triangle with an area 208 m². Calculate the volume of the cone.
- Quadrilateral 69834
What is the volume of a regular quadrilateral pyramid? The pyramid height is 30 cm, and the wall height is 50 cm.
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