Prism + unit conversion - practice problems
Number of problems found: 213
- Water 66
Water flows from a tap into a rectangular tank that measures 64cm by 36cm by 45cm. At 8 p. m., it is 1/4 filled with water. At 9 p. m., it is filled with 69,120 cm³ of water. Find the volume of water that has flowed into the tank from 8 p. m. to 9 p. m. G - Calculate 73134
The wooden prism weighs 5 kg and has a 700 kg/m³ density. Calculate the volume of the wooden prism. - Garden
A Garden with an area of 800 square meters rained 3 mm of water. How many 10-liter cans of water are needed for the same irrigation? - Measuring 16183
The load capacity of the truck is 10t. Will it carry 200 oak planks measuring 30 cm, 4 m, and 30 mm at a time if the weight of 1 dm³ of oak wood is 0.7 kg? - Concrete curb
The concrete curb has a width of 20 cm at the bottom and 15 cm at the top. It is 20cm tall. Its length is 80 cm. The density of concrete is p=2100kg/m³. How many can Mr. Havlík load on a trailer for a car if the trailer has a load capacity of 400 kg? - Dimensions 6130
The aquarium dimensions are in the ratio a: b: c = 5:2:4. 6609 cm² of glass was used for its production. How many liters of water will fit in the aquarium if it reaches 5 cm below its edge? - Temperature 7477
The pool with a length of l = 50 m and a width of s = 15 m has a depth of h1 = 1.2 m at the shallowest part of the wall. The depth then gradually increases to a depth of h2 = 1.5 m in the middle of the pool. = 4.5 m walls in the deepest part of the pool. - Mr. Gardener
Mr. Gardener wants to make wood for the balcony. Boxes. Each will have the shape of a perpendicular prism with a square base. The height is limited to 60 cm. He will fill each container with soil by pouring the whole bag of substrate sold into a package c - Approximately 6576
The honeycomb comprises cells with the shape of a regular 6-sided prism with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. How many liters of honey are there in the entire comb if the plastic comprises - Corresponding 7100
A honeycomb is made up of cells that resemble a regular hexagonal prism, with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. a) How many liters of honey are there in the whole comb if the comb consists o - Corresponding 6021
How much paint do we need to paint a pool in the shape of a 6-sided prism? The base edge measures 21 dm, the corresponding height is 1.8 m, and the pool height is 150 cm. We need 0.21 kg of paint per 1 m². - Paper box
Calculate how much we'll pay for a three-sided shaped prism box with a triangular base, and if it measures 12cm and 1.6dm, the hypotenuse measures 200mm. The box is 34cm high. We pay 0,13 € per square meter of paper. - Trapezoidal 24731
Calculate how many candies fit in a box shaped like a 4-sided prism with a trapezoidal base with base dimensions of 20 cm and 3.2 cm. The distance between the bases is 50 mm. The container is 32 cm high, and 1 candy occupies 2.5 cm³ of volume. - Pool
Mr. Peter builds a pool shape of a four-sided prism with a rhombus base in the garden. The base edge length is 8 m, and the distance between the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water consume Mr. Pe - Corresponding 83227
The 4m high column is a prism with a rhombus figure with an edge 80cm long and a corresponding height of 70cm. It is built of bricks. How many bricks are needed to build it if one brick has a volume of 1.4 cubic decimeters? - Support colum
Calculate the support column's volume and surface, which is shaped as a vertical quadrangular prism whose base is a rhombus with diagonals u1 = 102 cm and u2 = 64 cm. Column height is 1. 5m. - Tent
Calculate how many liters of air will fit in the tent with a shield in the shape of an isosceles right triangle with legs r = 3 m long, the height = 1.5 m, and a side length d = 5 m. - Cross-section 37443
What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g / cm³? What is the surface of the iron rod? - Tetrahedral prism
Calculate the area and volume of a tetrahedral prism that has a base rhomboid shape, and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm. - Cross-section 33541
How many m³ of soil must be moved when digging a straight trench 170 m long, the cross-section of which is an isosceles trapezoid with bases of 150 cm and 80 cm, and arms are 90 cm long?
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