Geometry - math word problems - page 115 of 154
Number of problems found: 3068
- Cube
The sum of lengths of cube edges is 56 cm. What are its surface and volume? - Cylinder
Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height equals the base's diameter. - The tangent of the hyperbola
Write the equation of the tangent of the hyperbola 9x²−4y²=36 at the point T =[t1,4]. - Sphere-shaped 20723
The sphere-shaped reservoir has a volume of 282 hl. Calculate the material consumption in m² for its production, assuming 8% for joints and waste. Round the final result to the nearest total.
- A cylinder
A cylinder 108 cm high has a circumference of 24 cm. A string makes exactly six complete turns around the cylinder while its two ends touch the top and bottom. (forming a spiral around the cylinder). How long is the string in cm? - Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original. - Rhombus construct
Construct parallelogram (rhombus) ABCD, | AB | = 4 cm alpha = 30° and | BD | = 5 cm. - Millimeter 24231
Calculate the length of the wall diagonal of a cube with a volume of 7.40 square meters. Express the result to the nearest millimeter. - Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally.
- Volume ratio
Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone. - Trapezoidal 4031
The aquarium has the shape of a prism with a trapezoidal base. The length of the basic trapezoid is 60 cm and 80 cm, and the height of the trapezoid is 70 cm. The aquarium holds 196 liters of water. How tall is the aquarium? - Hectoliters 22383
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters? - Calculate 27171
The volume of the right 4-side pyramid is 138 m3, and its height is 9m. Calculate the area of the base and the edge of its base. - Integer cube
The length of the cube edge is an integer. Its volume is in cm3, a five-digit number divisible by 1331. What is the length of the edge of this cube?
- A capacity
Suppose the cylinder at the right holds a capacity of 2 205 cm³ and its base area of 105 cm². How high is the cylinder? - Body diagonal
Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base, - Tereza
The cube has an area of base 144 mm². Calculate the edge length, volume, and area of its surface. - Cube-shaped 71414
Mother and daughter Susan are wrapping presents for father. Maťko has a cube-shaped box with dimensions of 9 cm, 3 cm, and 7 cm, and Zuzka has a box in the shape of a cube with an edge length of 3 cm. How many square cm of wrapping paper will they use in - How many 9
How much percent volume remains of a sphere if the diameter decrease 3×?
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