Area - practice for 13 year olds - page 4 of 63
Number of problems found: 1243
- Decimeters 83242
The axial section of the cylinder is a square with a content of 56.25 cm². Calculate its surface area and volume. Express the result in square decimeters and cubic decimeters and round to hundredths. - Dimensions 83226
Calculate the weight of an iron bar 1.2 m long, whose cross-section is a trapezoid with dimensions a=10 cm c=8 cm and the distance between the bases v=6 cm. As we know, 1 cubic meter of iron weighs 7800 kg. - Percentage 83218
The tractor operator plans to plow a 24 ha (ha=hectare) field. He already plowed 20.64 ha. What percentage has he already fulfilled the plan? - Actually 83215
The square-shaped plot actually covers an area of 81 ares. Maybe draw it in the village plan on a scale of 1:200. What will be the length of the side on the plan?
- Increases 83162
A farmer has 250 cows. One cow has 5m² in the cowshed. When their number increases by 26, how much m² will the space for one cow decrease? - Overhangs 83158
The area of a right triangle ABC is 346 cm2, and the angle at vertex A is 64°. Calculate the lengths of the overhangs a and b. - Tetrahedron 83144
A container shaped like a rotating cylinder with a base radius of 5 cm is filled with water. If a regular tetrahedron with an edge of 7 cm is immersed in it, how much will the water level in the container rise? - Approximately 83106
The castle courtyard, with an area of 100 m², is paved with oak cubes with an edge of 8 cm. Approximately 164 bricks were used to pave m². One dm³ of oak wood weighs 0.8 kg. Calculate the weight of all the bricks used to pave the courtyard. - Dimensions 83092
On the 1:75 scale plan, the building plot is a rectangle with 60 cm and 50 cm dimensions. If 1 m² of land costs 80 euros, what is the price of the land?
- Cylinder 83040
The content of the casing of the rotary cylinder is three times greater than the content of one base of this cylinder. The radius of the base of the cylinder is 10 cm. What is the surface area of the cylinder? - Hectares 82876
There are 2.17 million hectares of forest in Slovakia. The Žilina region occupies 20% of the total area. How many hectares of forest are there in the Žilina Region? - Grandmother 82869
Grandma wanted to fry steaks for lunch. So she went to buy a large piece of meat. Calculate the knife's contact area with the meat if the grandmother cut with a force of 220 N and exerted a pressure of 1.83 MPa. - Construction 82703
The plot of land for constructing family houses is shaped like a rectangular trapezoid with bases of 21m and 11.2m. For CZK 2,500 per square meter, the value of the land is calculated at CZK 1,352,400. What would be the length of wire mesh needed to fence - Calculate 82700
A cone of rotation with a radius of 32 cm and side length s = 65 cm is given. Calculate the surface area and volume.
- Calculate 82690
A cone of rotation with a height of 18 cm and side length s = 45 cm is given. Calculate the surface area and volume. - Quadrilateral 82616
Triangle ABC is divided into line segments. Lines DE and AB are parallel. Triangles CDH, CHI, CIE, and FIH have the same area, namely 8 dm². Find the content of quadrilateral AFHD. - Dimensions 82604
1 kg of cubed sugar consists of 840 cubes with an edge of 1.1 cm. Determine the sugar's density and the box's dimensions if the cubes are lined up in seven rows of nine cubes each. How many square meters of cardboard are needed to make 3000 boxes? - Rectangular 82582
We have to pave the smallest possible square with rectangular tiles with 168 cm and 280 cm sides. What will its side of the square be? - Equilateral 82576
Calculate the volume and surface area of a 9.6 cm high prism with a base of an equilateral triangle of length 4.8 cm.
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