Geometry - math word problems - page 79 of 165
Number of problems found: 3289
- Shadow - an observation tower
How tall is an observation tower if it casts a shadow 9.6 m long at the exact same moment that a half-metre pole casts a shadow 30 cm long? - Triangle similarity area
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST. - Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides. - Column brick prism
The 4 m high column is a prism with a rhombus figure with an edge 80 cm long and a corresponding height of 70 cm. It is built of bricks. How many bricks are needed to build it if one brick has a volume of 1.4 cubic decimeters? - Snow wall
The boys want to build a defensive wall out of the snow for the ballpark. They want it to be 5 meters long and 1.5 meters high. They can make and transfer 50 cm cubes from snow. How many such cubes must he make to build his wall? - Lampshade fabric calculation
Lampshade for the face of a truncated cone with a height of 20 cm. The upper diameter of the shade is 13 cm, the lower 36 cm, and the side forms an angle of 60 degrees with the lower diameter. At least how much fabric is needed to make this shade? - Allan
Allan keeps tropical fish. His aquarium is 4 feet long, 1 foot wide, and 2 feet tall. Each fish needs at least 0.5 ft³ of water. What is the maximum number of fish he can keep in the aquarium? Please show your solution. Please - Support colum
Calculate the support column's volume and surface. It is shaped as a vertical quadrilateral prism whose base is a rhombus with diagonals u1 = 102 cm and u2 = 64 cm. The column height is 1. 5 m. - The edge of a cube
How much does the edge of a cube of 54.9 cm³ measure? - Glass cocktail level
The cone-shaped glass has a volume of 2.5 dl and a diameter of 13 cm. How much cocktail is left in the glass if the level only reaches half the height of the glass? - Prism surface calculation
Calculate the surface area of a triangular prism with a height of 7 dm. Measures the edges of the triangular base 45 cm, 5 dm, 550 mm. - Pyramid volume calculation
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's volume if the base edge's length is 20 dm. - Trench
The trench is a four-sided prism. The cross-section has a trapezoidal shape with bases of 4 m and 6 m, and the length of the trench is 30 m. What is the depth of the trench if we dig 60,000 l of soil? - Calculate
Calculate the height of a tree that casts a shadow 22 m long if you know that at the same time, a pillar 2 m high casts a shadow 3 meters long. - Wallpaper - box network
How much dm² of wallpaper is needed to stick a box (without a lid) in the shape of a cube with an edge of 12 dm? - Cuboid surface area
Calculate the surface area of a cuboid with dimensions 54.5 cm, 12.7 cm, and 32.3 cm. Express the result in square dm. - Cube seat fabric
How much fabric will be needed to cover 12 cube-shaped seats with a 40 cm edge? - Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it? - Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm? - Poster column area
The column for posters in the cylinder shape is 2.3 m high, and its diameter is 1.2 m. What is the area on which the posters can be glued?
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