# Problems of the surface area

#### Number of problems found: 481

• Greenhouse
The Garden plastic greenhouse is shaped half-cylinder with a diameter of 6 m and base length 20 m. At least how many m2 of plastic is needed for its cover?
• Tent
Pyramid-shaped tent has a base square with a side length of 2 m and a height 1.7 m. How many meters of canvas is nneded to make it if for a waste should be added 10%?
• Sphere
Intersect between plane and a sphere is a circle with a radius of 60 mm. Cone whose base is this circle and whose apex is at the center of the sphere has a height of 34 mm. Calculate the surface area and volume of a sphere.
• Triangular pyramid
It is given perpendicular regular triangular pyramid: base side a = 5 cm, height v = 8 cm, volume V = 28.8 cm3. What is it content (surface area)?
• Cylinder diameter
The surface of the cylinder is 149 cm2. The cylinder height is 6 cm. What is the diameter of this cylinder?
• Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m3. Calculate the volume, surface, and diameter of the sphere.
• Spherical cap
What is the surface area of a spherical cap, the base diameter 20 m, height 2 m.
• Triangular prism
The base perpendicular triangular prism is a right triangle whose hypotenuse measures 5 cm and one cathetus 2 cm. Height of the prism is equal to 7/9 of the perimeter of the base. Calculate the surface area of prism.
• Sphere - parts
Calculate the area of a spherical cap, which is part of an area with base radius ρ = 9 cm and a height v = 3.1 cm.
• The body
The body on the figure consists of cubes with an edge length 10 cm. What surface has this body?
• Pit
The pit has the shape of a truncated pyramid with a rectangular base and is 0.8 m deep. The pit's length and width are the top 3 × 1.5 m bottom 1 m × 0.5 m. To paint one square meter of the pit we use 0.6 l of green color. How many liters of paint are nee
• Mystery of stereometrie
Two regular tetrahedrons have surfaces 88 cm2 and 198 cm2. In what ratio is their volumes? Write as a fraction and as a decimal rounded to 4 decimal places.
• Cone and the ratio
The rotational cone has a height 43 cm, and the ratio of the base surface to lateral surface is 5: 7. Calculate the surface of the base and the lateral surface.
• Sails
We known heights 220, 165, and 132 of sail. It has a triangular shape. What is the surface of the sail?
• Box
Cardboard box-shaped quadrangular prism with a rhombic base. Rhombus has a side 5 cm, and one diagonal 8 cm long, and the box's height is 12 cm. The box will open at the top. How many cm2 of cardboard do we need to cover overlap and joints that are 5% of
• CD disc
A compact disc has a diameter of 11.8 cm. What is the surface area of the disc in square centimeters?
• Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water.
• Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has volume 20250 cm3. What is the area of the surface of the prism?
• Tower
The top of the tower is a regular hexagonal pyramid with base edge 8 meters long and a height 5 meters. How many m2 of the sheet is required to cover the top of the tower if we count 8% of the sheet waste?
• Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, c has dimensions in the ratio of 9:3:8. If you know that the diagonal wall AC is 86 cm, and the angle between AC and space diagonal AG is 25 degrees.

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