The area of a shape of unit conversion problems - page 14 of 26
Number of problems found: 501
- Circular segment
Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm, and the angle α = 60°. Help formula: S = 1/2 r². (Β-sinβ) - Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus. - 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. - 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
- Container
The container has a cylindrical shape, the base diameter is 0.8 m, and the area of the base is equal to the area of the wall. How many liters of water can we pour into the container? - Four prisms
Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t - An experiment
The three friends agreed to the experiment. At the same time, they all took out an empty cylindrical container on the windowsill and placed it so that it was horizontal. Everyone lives in a different village, and each uses a container with a different bot - 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 is 14 cm. The altitude is 30 cm. Determine the weight in kg if the wood density is 10 grams/cm³. - Submerged 81714
A concrete column with a density of 3500 kg/m3, a height of 6 m, and a square base of a=25 cm lies at the bottom of the dam at a depth of 10 m. At the upper end, it is lifted by a rope by a crane. 1) with how much force does the pole stretch th
- Cloth / textile
We have a cloth measuring 16 square meters. How many 20 cm by 20 cm by 8 cm bags can you make? Assume the bag is a cuboid without one top base. - Radiators
Calculate the radiator output if it has a thermal gradient (difference between inlet water and return temperatures) a) 5°C b) 10°C c) 15°C d) 20°C A heating water volume flow is 45 kg/h. How fast the water flows from the supply pipe to the radiator e) DN1 - Juice-soaked glass
1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There are three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked por - Quadrilateral 58663
They melted the steel part in the shape of a truncated quadrilateral needle and produced three identical cubes. Determine the surface area of one cube if the edges of the bases of the pyramid are 30 mm and 80 mm and the pyramid's height is 60 mm. I don't - Traffic cones
Forty identical traffic cones with a base diameter d = 3 dm and height v = 6 dm will be painted orange outside (without the base). If we need 50 cm³ of paint to cover 1 m² and 1 liter of paint costs 80 SKK, how many SKK crowns will we pay?
- The roof
The tower's roof has the shape of a regular quadrangular pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste. - Allowances 82413
The teacher decided to sew covers for the eight-seat blocks in the school library. All cubes are cube-shaped with an edge 40 cm long. How many m² of fabric will the teacher need in total if the blocks are not lined from the bottom, and 5% must be added fo - Circumference 30781
How many square decimeters of decorative paper are needed to make cone-shaped carnival hats for 46 first-graders if the first-graders head circumference is 49 cm and the cap height is 33 cm? Is it necessary to add 3% paper to the folds? - Children pool
The bottom of the children's pool is a regular hexagon with a = 60 cm side. The distance between opposing sides is 104 cm, and the height of the pool is 45 cm. A) How many liters of water can fit into the pool? B) The pool is made of a double layer of pla - Canopy
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. If the manufacturer specifies the consumption of 1 kg to 3.3 m2, how many kg of color must he buy?
The cuboid-shaped sheet metal tank with dimensions a=25dm, b=5.6m, and c=180cm will be painted from the outside. How many cans of paint do we need to buy, and how many CZK crowns will we pay? One costs CZK 204, and it is enough to paint 8.5m².Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
