Geometry - math word problems - page 75 of 162
Number of problems found: 3232
- The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area. - Iron ball
The iron ball weighs 100 kilograms. Calculate the volume, radius, and surface if the iron's density is h = 7.6g/cm³. - The aquarium
The aquarium has a capacity of 18 liters. When the square bottom is 28 2/3 cm long, what is its height? - Base of house
Calculate the volume of the bases of a square house. If the base depth is 1.2 m, the width is 40 cm, and the outer circumference is 40.7 m. - Triangular prism
Calculate the volume and surface of the triangular prism ABCDEF with the base of an isosceles triangle. Base's height is 16 cm, leg 10 cm, base height vc = 6 cm. The prism height is 9 cm. - Pyramid 4sides
Calculate the volume and the surface of a regular quadrangular pyramid when the edge of the base is 4 cm long, and the pyramid's height is 7 cm. - Octahedron
All walls of the regular octahedron are identical equilateral triangles. ABCDEF octahedron edges have a length d = 6 cm. Calculate the surface area and volume of this octahedron. - Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere. - Cut and cone
Calculate the volume of the rotation cone whose lateral surface is a circular arc with radius 15 cm and central angle 63 degrees. - Container NDR
A cone-shaped container with a bottom diameter of 60 cm and a side length of 0.5 m is filled with water. We pour the water into a container with the face of a cylinder with a radius of 3dm and a height of 20cm. Will the cylinder overflow or not be complet - Insulation
A special rubber pipe protector is used to insulate the supply pipes of solar collectors. The product with the description DNa20, thickness 25 mm, 2 m, corresponds to insulation for pipes with a diameter of 20 mm with a rubber layer thickness of 25 mm, wh - Hectoliters 25821
The cistern of the public water supply has a cube-shaped interior. The edge of this cube is 5 m long. a) How much water is in the reservoir when it is completely filled? (Express this volume in m³ and hectoliters. ) b) How high does the water reach in the - Deviation 4905
The flower bed has the shape of a regular 4-sided pyramid. The edge of the lower plinth is 10 m, and the upper plinth is 9 m. The deviation of the side wall from the base is 45 degrees. How many plantings should be purchased if 90 are needed to plant 1 sq - Cuboid - box
The box has the shape of a cuboid with dimensions of 5 cm and 30 mm. Calculate the box's height if the cuboid's volume is 0.60 dm³. Calculate the surface area of the box. (calculation of height from the volume, calculation of area from the formula, keep - The pot
The pot is a cylinder with a volume of V = 7l and an inner diameter of d = 20cm. Find its depth. - Dimensions 81850
We used the same amount of paint to paint a cuboid with dimensions of 10 cm, 15 cm, and 3 cm to paint the shell of a cone whose radius is 8 cm. How tall is this cone? Calculate its volume in liters. - Perpendicular 21433
Calculate the height of the vertical prism with the rectangle's base if the dimensions of the edges of the floor are a = 12 dm, b = 50 mm, and the prism's volume V = 0.6 l. - Cuboid surface
Determine the surface area of the cuboid if its volume is 52.8 cm cubic and the length of the two edges are 2 cm and 6 cm. - Dimensions 79074
Calculate the surface area of a cuboid with dimensions 54.5cm, 12.7cm, and 32.3cm. Express the result in square dm. - Fairy-tale 33711
How much paper was spent on gluing 12 fairy-tale children's cubes with an edge 3.8 cm long?
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