Area - math word problems - page 107 of 156
Number of problems found: 3109
- 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? - In the Gargen
Workers will pave a 1-meter-wide sidewalk in the garden with tiles around the block-shaped pool. The dimensions of the bottom of the pool are 8.5 meters and 6 meters. The height of the pool walls is 2 meters. How many m² of pavement will be laid with tile - 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. - Harvested 5984
A private farmer assumed a beet yield per hectare of x tons. He harvested an average of y tons more per hectare. How many tons of beets are harvested from 0.25 km²? - 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?
- Annual rainfall
The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field? - Sum of squares
The sum of squares above the sides of the rectangular triangle is 900 cm². Calculate the area of the square over the triangle's hypotenuse. - Afternoon 5922
Tractors plowed a field of 15 3/4 ha. It plowed 3 1/3 ha in the morning, 2 5/6 ha in the afternoon, and 4 1/4 ha at night. How many hectares were left to plow the next day? - 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 (a diameter of 8 mm) fit on the coil (threads are wrapped close together)? The coil has the following dimensions: The inner diameter is 400mm. The outside diameter is 800mm. The length of the coil is 470mm. - 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.
- 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. - Moldings 5884
The worker bought a new carpet with moldings for the square office. The rails for this office cost CZK 1,500; 15 CZK per 1 m. How many m² does this office, in which six people work? - Block-shaped 5875 The block-shaped tank has dimensions of 320cm, 50cm, and 180 cm. 1. How much water can fit in it? 2. It was 45% filled. How much water was in it?
- Calculate 5873
Calculate the surface area and volume of a large granite paving block with an edge length of 10 cm and a small cube with an edge length of 5 cm. Compare the results.
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