Area - practice for 14 year olds - page 34 of 55
Number of problems found: 1082
- Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6609 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge? - Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then the plasticine was split into two parts in a ratio of 1:8. From each piece made, a cube. In what ratio are the surfaces of these cubes? - Increases 6105
How many times does the volume of a cube increase if its surface increases four times? - Diagonal to area
Calculate the area of a rectangle in which the diagonal length is 10 cm.
- Circumference 6040
The picture shows a square net in which the side of one square is 1 cm long. Draw a rectangle with an area of 18 squares with a circumference of 22 cm. - Right-angled 6034
A three-sided prism has a base in the shape of a right-angled triangle with a length of 5 cm. The giant wall of the prism shell has a volume of 104 cm². The prism is 8 cm high. Calculate the volume and surface area of the prism. - Corresponding 6021
How much paint do we need to paint a pool in the shape of a 6-sided prism? The base edge measures 21 dm, the corresponding height is 1.8 m, and the pool height is 150 cm. We need 0.21 kg of paint per 1 m². - Determine 6008
We will create a larger cube from 27 cubes with an edge of 2 cm. Determine the surface of the built cube. - Right triangular prism
We have a cuboid with a base and dimensions of 12 cm and 5 cm and a height of 4 cm. The tablecloth is cut into two identical triangular prisms with right triangular bases. We painted the surface of the created prisms with color. Calculate the surface area
- Coordinate axes
Find the triangle area given by line -7x+7y+63=0 and coordinate axes x and y. - Deformed 5992
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface? - Trapezoid - intersection of diagonals
In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate the trapezoid area. - Four-sided 5957
How much m² of the galvanized sheet is used to cover the roof of the tower, which has the shape of a four-sided pyramid, whose base edge is 6 m long? The height of the tower is 9m. When covering, is 5% metal waste expected? - Four-sided 5917
Mr. Radomír had a misfortune during the last storm; a tree fell on his roof in the shape of a regular four-sided pyramid and destroyed it all. The roof has a base edge length of 8m and a side edge length of 15m. How many m² of roofing will he have to buy?
- Water tank
A 288 hectoliter of water was poured into the tank with dimensions of 12 m and 6 m bottom, and 2 m depth. What part of the volume of the tank water is occupied? Calculate the surface of the tank wetted with water. - Rectangle area
The length of a rectangle is x units, and the width is y. Dimensions are increased by 10% and 15%, respectively. What is the ratio of the areas of the old and new rectangle? - The coil
How many ropes (the diameter of 8 mm) fit on the coil (threads are wrapped close together)? The coil has dimensions: The inner diameter is 400mm. The outside diameter is 800mm. The length of the coil is 470mm. - Cylindrical 5890
A cylindrical mug is packed in a 1-liter cube paper box. The mug is in close contact with all the walls of the cube. What volume is my mug? - Pass-through 5886
The round hole of the glass waste container has a diameter of 18 cm. Will a four-liter glass pass through this hole? If there are 4 liters of water in the glass, it reaches a height of 20 cm.
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