Grade - math word problems - page 784 of 946

Number of problems found: 18902

Roof 8
How many liters of air is under the tower's roof, which has the shape of a regular six-sided pyramid with a 3,6-meter-long bottom edge and a 2,5-meter height? Calculate the supporting columns occupy about 7% of the volume under the roof.
Apples
A 2 kg of apples cost a certain sum of money. This sum equals the number of kilograms for which we pay 72 CZK. How much is 1 kg of apples?
Cylindrical 3395
The cylindrical vase is 28 cm high. Its inner diameter d = 1.1 dm. How many liters of water will fit in it if the bottom thickness is 1.5 cm?
Cylindrical 3394
The cylindrical container with a diameter of 1.8 m contains 2000 l of water. What height does the water reach?
Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
Cube diagonals
If you know the length of the body diagonal u = 216 cm, determine the cube's volume and surface area.
Wednesday 3391
On Monday, three pupils were missing from the class, 12% of the total number of pupils. How many pupils were missing on Wednesday if 84% of all pupils were in school?
Precision 3390
The price of the device is reduced by one-fifth every year. How long before the price of the device drops to one-tenth of the price? Specify years and months with precision.
Algebrogram
Solve cryptarithmetic (alphametics) for a sum of three numbers: BEK KEMR SOMR ________ HERCI
Two-thirds 3388
The kneaded cake dough has a volume of 1.8 l. When baking, it increases its volume by about two-thirds. Can a baked wheel fit on a baking sheet measuring 36x30x8cm? How tall will the cake be after baking?
120-liter 3387
The family house residents pay for a 120-liter plastic container for waste per week. How much waste do I produce per year? How much will they pay annually for its removal if their garbage is taken out once a week and one removal costs 3.32 euros?
Pyramid
The pyramid has a base rectangle with a = 6cm and b = 8cm. The side edges are the same, and their length is 12.5 cm. Calculate the surface of the pyramid.
Consumption 3385
A liter of gasoline costs 1.516 euros. The average consumption of the KOLO car is 6.9 l per hundred kilometers. The car has a 40-liter tank. How much will the car owner pay for the trip from Zilina to Prague and back if he follows the 413km long route?
Three-quarters 3384
The sum of the two numbers is 75. Find these numbers. Three-quarters of the first are one-seventh of the second.
Intersection 3383
A regular 15-angle is given. A triangle is formed if we connect points 3 and 7, 13 and 10. The vertices are 3 and 13, and the lines' intersections are 3.7 and 13.10. We are to determine the angle size formed by sides 3.7 and 13.10. These numbers indicate
Hectoliters in a tank
The block tank held 288 hectoliters of water. The bottom dimensions are 12m and 6m, and the depth is 2m. What percent of the tank volume does the water occupy?
Larger number
Which number a is 15 smaller (solve also for a is larger) than its half?
Quarter-liter 3380
A container has the shape of a regular hexagonal prism with a base and a capacity of 0.5 dm², which means three quarter-liter cups of water fill the brim. What is the height of a container?
Cuboid and ratio
A cuboid has dimensions in a ratio of 1:2:6, and the surface area of the cuboid is 1000 dm². Calculate the volume of the cuboid.
Cone
The rotating cone volume is 9.42 cm³, with a height of 10 cm. What angle is between the side of the cone and its base?

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