Area - math word problems - page 109 of 158

Number of problems found: 3160

Last storm - tree
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.
Mug in Cube Box
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?
Glass Waste Container Hole
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.
Office Carpet and Rails
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 tank
The block-shaped tank has dimensions of 320 cm, 50 cm, and 180 cm. 1. How much water can fit in it? 2. It was 45% filled. How much water was in it?
Granite Block Comparison
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.
Tiles Area Circular Arches
Calculate the volume of the area covered with three rows of 7 tiles. One tile is 30 cm wide and 45 cm high and ends with circular arches at two ends. Enter the result in m².
Cube Cut Surface Increase
We cut the cube with two mutually perpendicular cuts, each parallel to one of the cube's walls. By what percentage is the sum of the surfaces of all cuboids created in this way greater than the surface of the original cube?
Tetrahedron - surface
Calculate the surface area of a regular tetrahedron whose height is 9 cm.
Grain sowing area
According to the sowing plan, sugar beet and grain are to be sown on an area of 840 ha. The area sown with sugar beet should be three times larger than the area sown with grain. What area should the grain be on?
Pyramid measurements
Calculate the surface area and volume of a regular quadrilateral truncated pyramid if the base edges are 87 cm and 64 cm and the wall height is 49 cm.
Rectangle measurements
In the ABCD rectangle, the AB side is 16 cm long, and the AC diagonal is 20 cm long. Calculate the perimeter and area of the rectangle.
Water Lilies Pond Coverage
The surface of the pond is covered with water lilies so that the area covered by water lilies doubles per day. On the thirtieth day, the surface was full of water lilies. On how many days was half of the pond covered with water lilies?
Pyramid Surface Area
The pyramid has a rectangular base with dimensions a = 5cm, b = 6cm. The side edges are identical; their length is h = 11cm. Calculate the surface of the pyramid.
Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm.
Cone measurements
Calculate the volume and surface of the rotating cone with the base radius r = 4.6dm and the height v = 230mm.

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