# Area + power - practice problems

#### Number of problems found: 90

- Diagonals in the diamond

The length of one diagonal in a diamond is 24 cm greater than the length of the second diagonal, and the diamond area is 50 m². Determine the sizes of the diagonals. - Tiles

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

Determine the trapezoid area with bases 71 and 42, and the height is 4 shorter than its leg. - 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. - Flowerbed 2

Around the square flower bed in a park is sidewalk 2 m wide. The area of this sidewalk is 243 m². What is the area of the flowerbed? - 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? - Balls

Three metal balls with volumes V_{1}=71 cm³ V_{2}=78 cm³ and V_{3}=64 cm³ melted into one ball. Determine it's surface area. - Without Euclid laws

Right triangle ABC with right angle at the C has a=14 and hypotenuse c=26. Calculate the height h of this triangle without the use of Euclidean laws. - Tereza

The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Garden

The area of a square garden is 2/9 of triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing need to fence a square garden? - Cube zoom

How many percents do we increase the volume and surface of the cube if we magnify its edge by 38 %? - Similarity

The area of the regular 10-gon is 563 cm². The area of similar 10-gon is 606 dm². What is the coefficient of similarity. - Cylinders

The area of the side of two cylinders is the same rectangle of 33 mm × 18 mm. Which cylinder has a larger volume and by how much? - Rectangular cuboid

The rectangular cuboid has a surface area 5334 cm^{2}, and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Square

Points A[9,9] and B[-4,1] are adjacent vertices of the square ABCD. Calculate the area of the square ABCD. - Square 2

Points D[10,-8] and B[4,5] are opposed vertices of the square ABCD. Calculate area of the square ABCD. - Rotation

The right triangle with legs 11 cm and 18 cm rotate around the longer leg. Calculate the volume and surface area of the formed cone. - Right isosceles

Calculate area of the isosceles right triangle which perimeter is 26 cm. - Cube

Calculate the surface cube with edge 11 dm. - Sphere

The surface of the sphere is 12100 cm^{2}, and the weight is 136 kg. What is its density?

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Area - practice problems. Power - practice problems.