The area of a shape of unit conversion problems - page 11 of 26
Number of problems found: 507
- Rectangular 13993
The plan of the fitness center is made on a scale of 1:150. The rectangular fitness center has 5cm and 6cm dimensions on the plan. How many euros will we pay to cover the fitness studio with a floating floor if we pay 12 euros for 1 m² of floating floor?
- Renovation
Five doors with a width of 80 cm and a height of 2 m need to be sanded and wallpapered on both sides. One roll of wallpaper with wood decor measuring 80*1000cm costs CZK 66. How many roles will we need for the renovation?
- Alcohol from potatoes
In the distillery, 10 hl of alcohol can be made from 8 t of potatoes. The rectangular field with 600 m and 200 m dimensions 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?
- Circular railway
The railway connects points A, B, and C in a circular arc, whose distances are | AB | = 30 km, AC = 95 km, and BC | = 70 km. How long will the track be from A to C?
- Painter 3
Dad wants to paint the wall high 250 cm, wide 230 cm with wallpaper. How many meters must he buy wallpaper if the wallpaper width is 60 cm?
- Fertilized 80437
Nitric lime contains an average of 19% nitrogen and 55% calcium oxide. How many grams of nitrogen per 1 m² if we bought a 25 kg package and thereby evenly fertilized a garden of 12 a?
- Triangle's 16613
They make bases for table lamps from bronze in the shape of an isosceles triangle. How many m² are needed for 5 mats if the arms are 24 cm long and the height to the triangle's base is 1.5 dm?
- Copier paper
A standard package of printer and copier paper is labeled 80 g/m2, which means that one square meter of such paper weighs 80 g. How much does one sheet of A4 size (dimensions 210 × 297 mm) weigh? The result is rounded to whole grams.
- Hydraulic jack
Hydraulic jack has a capacity of 10 tons. The hydraulic lifter has 6 cm² and 360 cm² pistons. Determine the diameter of the small piston (d) and the force I will create on the piston (F). Design a single-reverse and a double-reverse lever.
- Natural fertilizer
The gardener fertilized the rectangular garden measuring 120m and 60m with 16kg of natural fertilizer. Natural fertilizer contains 45% organic matter. How much organic matter falls on 1 m² of the garden?
- Area of garden
If the width of the rectangular garden is decreased by 2 meters and its length is increased by 5 meters, the area of the rectangle will be 0.2 ares larger. If the garden's width and length will increase by 3 meters, its original size will increase by 0.9
- Parallelogram - area
Calculate the area of the parallelogram if the sides are a = 80, b = 60 long, and the size of the diagonal angle is 60°.
- Glass
At the glass shop, we have to cut eight sheets of glass. Each was shaped as a square with sides of 18 cm. We paid 44 CZK. How much is 1 m² of glass?
- Rectangles 6279
Reduce the dimensions of the rectangle with dimensions of 21 cm and 3 dm in a ratio of 4:6. In what proportion will the areas of both rectangles be?
- Cross-section 82544
A water spray nozzle with a cross-section of 1.5 cm² sprays water at a speed of 24 m/s. What is the speed of the current in the supply pipe whose cross-section has a volume of 18 cm²?
- Tablecloth 72254
The table top is 1.2 m long, 55 cm wide, and 35 mm thick. Calculate how many regular meters of a 1 m wide roll are needed for a tablecloth that extends 15 cm beyond the bottom edge of the table on all sides.
- Atmospheric 39931
The area of the horizontal plate is 0.80 m². The atmospheric pressure around the plate is 1100 hPa. 1. How much pressure does the air exert on the plate from above? 2. What is its direction? 3. Is the magnitude of this force different if the plate is tilt
- Schoolmaster 5412
The schoolmaster has a classroom schedule where the linoleum needs to be replaced. The classroom floor is a 45mm x 65mm rectangle on a 1:200 scale plan. How much will linoleum cost if 1 square meter costs €13.80?
- Triangle SAS
Calculate the triangle area and perimeter if the two sides are 46 m and 33 m long and angle them clamped is 170 °.
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