# The surface area of problems

#### Number of problems found: 478

• Base side
In a quadrilateral prism, are known surface area S = 12400 mm2 base side m = 40mm and prism height = 120mm, what is the length of base side n =?
• The surface
The surface of the cylinder is 1570 cm2, its height is 15 cm. Find its volume and radius of the base.
• A butter
A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm, b = 15 cm. Calculate how many cm2 the package is larger than the surface of the cube.
• The conical roof
The conical roof above the warehouse has a diameter of the lower part (base) d = 11.2 m and a height v = 3.3 m. How many rectangular steel plates with dimensions of 1.4 m and 0.9 m were needed for the production of this roof, if the seams and waste requir
• School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm ^ 3
• Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of a prism is 24 cm.
• How to
How to find a total surface of a rectangular pyramid if each face is to be 8 dm high and the base is 10 dm by 6 dm.
• Empty aquarium
How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm2 of glass weighs 300 g? Calculate its weight in kilograms.
• Frustrum - volume, area
Calculate the surface and volume of the truncated cone, the radius of the smaller figure is 4 cm, the height of the cone is 4 cm and the side of the truncated cone is 5 cm.
• Frustrum - volume, area
Calculate the surface and volume of a truncated rotating cone with base radii of 8 cm and 4 cm, height 5 cm.
• Regular square prism
The volume of a regular square prism is 192 cm3. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism.
How much wrapping paper is needed to wrap a cube-shaped gift with edge measuring 15 cm?
• Trapezoidal base
Calculate the surface and volume of a quadrilateral prism with a trapezoidal base, where a = 7 cm, b = 4 cm, c = 5 cm, d = 4 cm, height of trapezium v = 3.7 cm and the height of the prism h = 5 cm.
• Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm.
• The surface
The surface of a truncated rotating cone with side s = 13 cm is S = 510π cm2. Find the radii of the bases when their difference in lengths is 10cm.
• The tetrahedron
Calculate the surface area and volume of a regular tetrahedron 4.9 cm high, the base edge has a length of 6 cm.
• The block
The block, the edges formed by three consecutive GP members, has a surface area of 112 cm2. The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.
• Cans
How many m2 of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm.
• Martians
A sphere-shaped spaceship with a diameter of 6 m landed in the meadow. In order not to attract attention, the Martians covered it with a roof in the shape of a regular cone. How high will this roof be so that the consumption of roofing is minimal?
• The roof
The roof of the tower has the shape of a regular quadrangular pyramid, the base edge of which is 11 m long and the side wall of the animal with the base an angle of 57°. Calculate how much roofing we need to cover the entire roof, if we count on 15% waste

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