# Area + surface area - math problems

#### Number of problems found: 484

- 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 - Base diagonal

In a regular 4-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the surface area and volume of the pyramid. - Side edges

The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid. - Cloth / textile

We have cloth measure 16 square meters. How many 20 cm by 20 cm by 8 cm bags you can make? Assume bag is a cuboid without one top base. - Roll of wallpaper

An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1/3 yards of paper for one box and 5/6 yard of paper for the other box. The paper must be cut into pieces that are 1/6 yard long. How many pieces will the student c - Surface and volume - cube

Find the surface and volume of a cube whose wall diagonal is 5 cm long. - Triangular prism

The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Finf its volume and surface area. - The rotating

The rotating cone has a height of 0.9 m and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone) - The volume

The volume of the cone is 94.2 dm³, the radius of the base is 6 dm. Calculate the surface of the cone. - Cube-shaped box

The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box. - Truncated pyramid

Find the volume and surface area of a regular quadrilateral truncated pyramid if base lengths a1 = 17 cm, a2 = 5 cm, height v = 8 cm. - A spherical segment

The aspherical section, whose axial section has an angle of j = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the cut surface. - What is

What is the height of a cylinder whose surface size is 602.88 cm^{2}and the content of its shell is 376.8 cm^{2}? - The cylinder

In a rotating cylinder it is given: the surface of the shell (without bases) S = 96 cm^{2}and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Rotary cylinder

In the rotary cylinder it is given: surface S = 96 cm^{2}and volume V = 192 cm cubic. Calculate its radius and height. - Pentagonal pyramid

The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid. - Truncated cone

Find the volume and surface area of the truncated cone if r1 = 12 cm, r2 = 5 cm and side s = 10 cm. - Regular 4-sided pyramid

Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m. - Cuboid - ratio

Find the volume of a block whose dimensions are in the ratio 2: 3: 4 and the surface is 117 dm^{2}.

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Area - math problems. Examples for the calculation of the surface area of the solid object .