Geometry - math word problems - page 129 of 163
Number of problems found: 3251
- Wooden board weight
What is the weight of a wooden board 1.8 m long, 70 cm wide, and 5 cm high? The density of wood is p = 450 kg/cubic meter. - Diagonals
Construct a rhombus whose diagonals have lengths of 10cm and 8cm and make an angle of 115°. - Draw triangle
Construct right triangle MNO with hypotenuse o = 5 cm and angle MNO = 37° - Construct diagonals
The point B is a vertex of rectangle ABCD. The diagonal BD of this rectangle lies on the line p. Point X is an interior point of side AD of rectangle ABCD, and point Y is an internal point of side CD. Construct the missing vertices D, A, and C of the rect - Roof material
In the form of a pyramid on the house with a square floor plan, the roof has dimensions of 12 x 12 m, with a height of 2 m at the highest point. How much roofing do I need to buy? Count on a 10% reserve. - Circle center construction
There is any circle k that does not have a marked center. Use a suitable construction to find the center of the circle k. Try on two different circles. - Volume ratio
Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone. - Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere? - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r? - Square drawing calculation
Draw squares. Color them and calculate the perimeter and areas square ABCD a = 3cm square EFGH b = 4cm - Target hits
Draw a target with the given radii. Mark Mirek's interventions and Pepi Mirek's interventions 4,0,3,5,3 Pepa had 14 hits for three shots. - Triangle ABC
Construct a triangle ABC is given c = 60mm, hc = 40 mm and b = 48 mm analysis procedure steps construction - Hexagon rotation
A regular hexagon of side 6 cm is rotated at 60° along a line passing through its longest diagonal. What is the volume of the figure thus generated? - Construction - Euclid
Using Euclid's theorems, construct a triangle ABC with height on side c and size v = √8 cm. Choose the length of the hypotenuse c correctly. Write the construction procedure. - Mass point
Two equal forces of 30 Newtons act on a mass point. Find the magnitude of the resultant force if these forces form an angle of 42°. - Block edge change
The block has 10 cm, 20 cm, and 50 cm dimensions. We reduce the first edge of the cuboid by 20% and increase the second by 20%. How does the volume of the cuboid change? By how many percent? - Volleyball rack capacity
Calculate how many volleyballs with a circumference of 65 cm fit into a cube-shaped rack whose edge is 100 cm long. - Iglu - cone tent
The cone-shaped tent is 3 m high, and the diameter of its base is 3.2 m. a) The tent is made of two layers of material. How many m² of fabric is needed for production (including flooring) if 20% needs to be added to the minimum amount due to cutting waste - Construct rhombus - MO
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all possibilities. How long is a side of a rhombus? - Minimum surface
Find the length, breadth, and height of the cuboid-shaped box with a minimum surface area into which 50 cuboid-shaped blocks, each with length, breadth, and height equal to 4 cm, 3 cm, and 2 cm, respectively, can be packed.
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