Area - practice for 13 year olds - page 32 of 63
Number of problems found: 1242
- Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes? - Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - Two cubes
The surfaces of two cubes, one of which has an edge of 22 cm longer than the second, differ by 19272 cm². Calculate the edge length of both cubes. - Sphere VS
Find the surface and volume of a sphere with a radius of 2 dm.
- Containing 8340
Calculate the perimeter of a square containing 9 acres. - Calculate 8327
Calculate the surface area of a cube with a volume of 262,144 cm³. - Calculate 8325
Calculate the area of a circular section given by an angle of 220 degrees if the circle's radius is 20cm. Round the result to cm2 - Centimeter 8323
The area of the cylinder shell is 307.72 cm2, and the diameter of the figure is 14 cm. Calculate its height to the nearest centimeter. - Iceberg
What is the surface area of a 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg?
- Surrounded 8283
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder. - Castle model
The castle model has a cone-shaped roof. The cone side is 45 cm long, and the base radius is 27 cm. a) What is the roof volume? b) How many dm² of wallpaper is used to glue the roof, i.e., the cone shell? c) What is the weight of the roof if it is made of - Masquerade ball
Marie wants to make a cone-shaped witch's hat for a masquerade ball. How much material will it need if it counts on an annular rim with diameters of 28cm and 44cm? The hat side length is 30cm. Add 5% of the material to the bust. Round to cm². - Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm. - Diagonal 8192
Find the volume and surface of a cube if you know the length of its body diagonal u = 216 cm.
- Hexagon 8167
How many dm² of organic glass is needed to produce 50 washers in the shape of a regular hexagon? The side is 8 cm long. - Calculate 8166
Calculate the perimeter of a square when we know the length of its diagonal e = 4.2 m - Three gardens
Is it possible to divide a plot of land with an area of 927 m² into three gardens in a ratio of 4:2:3 so that their areas are only whole multiples of square meters? - Quadrilateral 8120
Include the side edge length of a regular quadrilateral pyramid if the pyramid height is 4 cm and the base area is 16 cm². - Quadrilateral 8109
The regular quadrilateral pyramid has a base diagonal of 5√2 cm, and the side edges are 12√2 cm long. Calculate the height of the pyramid and its surface.
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