Mass + area - practice problems - page 4 of 7
Number of problems found: 124
- Rotating 28501
Which bags shaped like the shell of a rotating cone can hold the most popcorn? The first bag has a height of 20 cm, and the length of its side is 24 cm. The second bag has a base radius of 10 cm and a height of 25 cm. - Quadrilateral 28491
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³. - Straightened 26861
A Mazda van with a box body with internal dimensions of 1.6 m x 3.1 m x 1.7 m (w x d x h) with a payload of 1.7 tons delivers crates with pastries. Pastry box 520: dimensions 600mm x 400mm x 200mm (l x w x h), load capacity 15 kg. Calculate: a) How many c - Equilateral 26601
The gardener filled the flowerbed in the shape of an equilateral triangle with a side of 8 m with crushed stone. How much crumb was used for the whole flower bed if it consumes 25 kg per 1 m² of the area?
- Alcohol from potatoes
In the distillery, 10 hl of alcohol can make from 8 t of potatoes. The rectangular field with dimensions of 600 m and 200 m had a yield of 20 t of potatoes per hectare. How many square meters of area are potatoes grown to obtain one liter of alcohol? - Insulating 25471
The septic tank is 6 m high, and its diameter is 2.4 m. How many packages of insulating paint must the painter order if he consumes 1 kg per 5 m² and the paint is delivered in two kg cans? - The water tank
The water tank has the shape of a sphere with a radius of 2 m. How many liters of water will fit in the tank? How many kilograms of paint do we need to paint the tank if we paint with 1 kg of paint 10 m²? - Measuring 22473
0.9 kg of paint is needed to paint a fence measuring 1.2 m x 9.6 m. How much paint will be required to paint a fence measuring 1.6m x 18m? - 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?
- Round flowerbed
Around a round flowerbed with a diameter of 6 meters, I will make a sidewalk up to 0.5 meters wide. How much gravel is needed if the layer is 5 cm high? - Bent scale
Monica weighed 52 kg. Sara 54 kg. Together they weighed 111 kg. They noticed that the needle on the scale was bent. How much did they really weigh? - Compressive 19933
The submarine is at a depth of 50 m below the concave surface of the sea. Find the hydrostatic compressive strength of seawater on a metal cover with an area of 0.6 m². - Harvested 17623
The farmer managed to increase wheat yield per hectare by 0.4 tons by improving the soil, so he harvested 140 tons of wheat from 25 ha. What was the original yield per hectare? Please round the result to one decimal place. - Reservoir 17043
The reservoir has the shape of a sphere with a diameter of 12 m. How many kg of paint is needed to paint a reservoir if it is painted twice and one kilogram is enough to paint about 8m²?
- Consumption 15663
The cone-shaped sheet metal roof has a base diameter of 80 cm and a height of 60 cm. Calculate the paint consumption for painting this roof if 1 kg of paint is consumed per 6 m² of sheet metal. - Nitrogen
One bag of urea containing 46 percent nitrogen weighs 25 kg. How many bags must be purchased for fertilizing a field of 41003 square meters if the nitrogen dose is 50.0 kg per hectare? - Square-shaped 14271
We should sow grass in a square-shaped garden with a side of 16.2 m. How many kg of grass seed do we need? One square meter is necessary for 25 grams. - Heptagonal pyramid
A hardwood for a column is in the form of a frustum of a regular heptagonal pyramid. The lower base edge is 18 cm, and the upper base of 14 cm. The altitude is 30 cm. Determine the weight in kg if the wood density is 10 grams/cm³. - Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone?
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