Geometry - math word problems - page 137 of 165
Number of problems found: 3289
- Cube surface volume
How many percent will it increase a) surface b) cube volume if the edge of the cube increases by 25%? - Cuboid
The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. The edge length ratio is 7:5:3. Calculate the length of the edges. - Granite buoyancy pressure
A granite cube with an edge length of 1 dm and a weight of 2.5 kg is completely immersed in a container of water. How much buoyancy does it lighten? How much pressure does the cube exert on the bottom of the container? - Concrete column
A concrete column for a motorway bridge is a cuboid with dimensions 1 m × 0.8 m × 25 m. A crane must lift it to a height of 20 m. What is the minimum power of the crane's engine if the lift takes 2 minutes? - Pyramid volume ratio
A regular quadrilateral pyramid with base edge length a = 15 cm and height v = 21 cm is given. We draw two planes parallel to the base, dividing the height of the pyramid into three equal parts. Calculate the ratio of the volumes of the 3 bodies created. - Bathroom
How much CZK do we pay for lining the perimeter walls of the bathroom with rectangular shapes with dimensions of 3.5 m and 4 m, high 1.5 m if 1 square m tile costs 300 CZK? - Aquarium II
Calculate how much glass is needed to build a rectangular aquarium with a base of 65 cm × 52 cm and a height of 74 cm, assuming 2% waste. The aquarium has no top. - Square grid drawing
Draw a square so that its sides do not lie on the lines of the square grid - Different points
Mark 4 different points O, P, R. S. Mark of line OP, OR, OS. Measure the marked lines. - The conical roof
The conical roof above the warehouse has a diameter of the lower part (base) d = 11.2 m and a height v = 3.3 m. How many rectangular steel plates with dimensions of 1.4 m and 0.9 m were needed to produce this roof if the seams and waste required an increa - Cutting cone
A cone with a base radius of 10 cm and a height of 12 cm is given. At what height above the base should we divide it by a section parallel to the base so that the volumes of the two resulting bodies are the same? Express the result in cm. - Circle construction points
Construct 2 circles so that their centers are 5 cm apart and: and they had no common touch b- they had a common point They had 2 points in common. - North + west
Find the magnitude of the resultant of the given vectors: vector 1:2 m/s, north vector 2:7 m/s, west - Trisection of a line segment
Divide the line segment AB into three equal parts. Instructions: Construct an equilateral triangle ABC and find its center (e.g., the described circles). - Triangle Line Two Points
Draw an arbitrary triangle ABC and a line o to have exactly 2 points in common with the triangle. - Dice in a box
In a box in the shape of a cuboid, four kinds of dice are stored in four layers. In the first layer there are dice with an edge length of 12 cm. In each subsequent layer the length of the edge of the die is 2 cm smaller than the length of the edge of the - Twenty percent
The students in the class agreed to make various decorative cone-shaped hats for the carnival. How much decorative material did a class of 25 students need to make the hats, if they had to allow for approximately twenty percent waste when cutting and glui - Column water force
A concrete column with a density of 3500 kg/m3, a height of 6 m, and a square base of a=25 cm lies at the bottom of the dam at a depth of 10 m. At the upper end, it is lifted by a rope by a crane. 1) with how much force does the pole stretch th - Cubes - diff
The second cube's edge is 2 cm longer than the edge of the first cube. Volume difference blocks are 728 cm³. Calculate the sizes of the edges of the two dice. - Copper Cu wire
Copper wire with a diameter of 1 mm and a weight of 350 g is wound on a spool. Calculate its length if the copper density is p = 8.9 g/cm cubic.
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