Area of a shape Conversion Word Problems - page 16 of 32
Number of problems found: 639
- 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) - Square equal rhombus
Construct a square that has the same area as a rhombus ABCD if |AB| = 5 cm, |AD| = 4 cm, and angle |DAB| = 30°. - Angle between line and plane
Find the angle between the line given parametrically by x = 5 + t y = 1 + 3t z = -2t t ∈ R and the plane given by the equation 2x-y + 3z-4 = 0. - Circle arc
A circular sector has an arc length of 7.16 m and an area of 146.69 m². Calculate the radius of the circle and the size of the central angle. - Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus. - Parallelogram - area
OPRS parallelogram with OP side 4 cm long, OS side 5 cm long, angle at the top P is 100°. What is its area? - Van crate calculation
A Mazda van with a box body has internal dimensions of 1.6 m × 3.1 m × 1.7 m (width × depth × height) and a payload of 1.7 tonnes. It delivers crates of pastries. Each pastry crate (type 520) has dimensions 600 mm × 400 mm × 200 mm (l × w × h) and a maxim - Temperature and volume
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. - Sewerage
A heavy rain came onto a football pitch with dimensions 110 m x 70 m and during 15 minutes water fell to a height of 80 mm on each m². The pitch is constructed so that it is drained and water can flow away through 4 channels, each with an internal cross-s - Bucket
How many Kč (Czech crowns) will you pay for the painting of a room in the shape of a cuboid with floor dimensions of 5 and 4 m, given the height of the room is 3 m. You will not paint the floor, the door space (210 x 90 cm), and the space behind the mirro - Ice cream cone
How many cm² of dough are needed to produce an ice cream cone if it is to hold 0.3 l of ice cream and its height is to be 15 cm. Add 8% for folds. 1. Convert litres into cm³ 2. Decide which data you can calculate first and from what formula. 3. Calculate - 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 - Cracked aquarium
Martin wanted to glue together an aquarium with his father's help. In the manual he read that it should have a volume of 45 litres. On the table he did not have much space. The bottom of the aquarium could have dimensions of only 25 cm and 40 cm. How tall - 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. - Column water force
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 - Wooden 3
A wooden board 2.5 m long has a cross-section in the shape of a right-angled trapezoid whose parallel sides are 1.2 dm and 8 cm long. The height of the trapezoid is 3 cm. Calculate: a) the surface area of the board, to determine the amount of stain needed - 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) - Pyramid model
Peter brought back from his vacation in Egypt a model pyramid in the shape of a regular quadrilateral pyramid. He measured that its base edge has a length of 7 cm and the lateral edge has a length of 10 cm. The model has a mass of 1 kg and is made of an u - 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?
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