Physical quantity - math word problems - page 253 of 318
A physical quantity is a term numerically describing a property or state of a physical object. For example, a physical quantity is a length, and its corresponding physical unit is a meter (symbol m). Similarly, the quantity is weight, and the unit is the kilogram (kg). Physical quantities can be divided into a scalar (has magnitude), vector (has magnitude and direction), and tensor (has magnitude and multiple directions).Number of problems found: 6360
- Perpendiculars 17003
What is the hole volume drilled by the drill in the shape of a right triangle that revolves around a longer perpendicular? The perpendiculars of the triangle are 10 cm and 3 cm long. - Hexagonal 13891
A regular hexagonal pyramid has a base inscribed in a circle with a radius of 8 cm and a height of 20 cm. Please sketch the picture. Please calculate the surface of a regular hexagonal pyramid. - Cylindrical 4455
One hundred twenty wire turns are wound together on a cylindrical rod (r = 2 cm). How long is the wire when 10cm hangs freely at each end? - Deposited 6059
On January 2nd, 2009, Janko's father deposited €3,000 in the bank's passbook. The bank provides an annual interest of 0.30% for deposits up to €5,000. However, Janko's father collected the money after eight months. What is interest in euros added to it?
- A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and - Aquarium
There are 15 liters of water in a block-shaped aquarium with internal dimensions of the bottom of 25 cm and 30 cm. Find the area of water-wetted surfaces. Express the result in dm square. - The tank
The tank has 1320 liters of water. The tank has the shape of a prism. Its base is a rectangle with sides a = 0,6 m and b = 1,5 m. How high does the water level reach in the tank? - Prism
Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm. - Cuboid box
How much m² paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm, and 30 cm? To the folds, add one-tenth the area.
- Tetrahedral prism
Calculate the surface and volume of a tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are a = 12 cm, b = 7 cm, ha = 6 cm, and prism height h = 10 cm. - Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid, its height is $b cm, and the length of the edges of the base is 6 cm. - Equilateral 83322
The glass weight has the shape of a regular four-sided pyramid with a base edge of 10 cm. The shell walls are equilateral triangles. What is the weight in grams of the paperweight if the density of the glass is 2500kg/m³? - (contents) 82453
Determine the actual dimensions of the kitchen and its area (contents) if its dimensions on the plan with a scale of 1:200 are 3.5 cm and 4 cm. - Acceleration of point
The mass point moves evenly along a circle with a radius of 1.2 m at an angular velocity of 25 rad/s. Determine the frequency, period, and centripetal acceleration!
- Balls
Ping pong balls have a diameter of approximately 4 cm. It is sold in boxes of 9 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls. - Shopkeeper 4433
The seller of Christmas trees sold spruces for 220 CZK, pines for 250 CZK, and hemlocks for 330 CZK. In the morning he had an equal number of spruces, hemlocks, and pines. In the evening, he had sold all the trees and received a total of 36,000 CZK for th - People 7331
How many people must be in a group for at least two of them to be born in the same month? - Probability 3219
In recent years, it has rained 12 days in March. What is the probability that it rained on March 18? - Dimensions 80753
We color a wooden block with dimensions a = 4 cm, b = 3 cm, c = 2 cm and then cut it into cubes of 1 cm³. How many cats will she have? a) just one wall painted b) just two walls stained c) just three walls painted d) no painted wall?
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