# Area + maximum - practice problems

#### Number of problems found: 13

- Base and longest side

The base of a right angled triangle is 10 centimetres and the longest side is 26 centimetres. What is the area of the triangle? - 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? - Megapizza

Megapizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion? - Maximum of volume

The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum? - Largest wall

Find the content of the largest wall of a prism with a rectangle base with a height of 4 dm, side c = 5 cm, and side b = 6 cm. - Largest squares

How many of the largest square sheets did the plumber cut the honeycomb from 16 dm and 96 dm? - An equilateral

An equilateral triangle with a side of 10 m represents a wooden platform standing on a lawn. A goat is tied to a corner with a 15 m rope. What is the maximum amount of grazing area available to the goat? - Hypotenuse - RT

A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle? - Cylindrical container

An open-topped cylindrical container has a volume of V = 3140 cm³. Find the cylinder dimensions (radius of base r, height v) so that the least material is needed to form the container. - Tiles

How many tiles of 20 cm and 30 cm can build a square if we have a maximum of 100 tiles? - Tiles

From how many tiles 20 cm by 30 cm, we can build a square of maximum dimensions if we have maximum 881 tiles. - Maximum area of rhombus

Calculate the interior angles at which equilateral rhombus has a maximum area. - Shape

Plane shape has a maximum area 677 mm^{2}. Calculate its perimeter if perimeter is the smallest possible.

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Area - practice problems. Maximum - practice problems.