Length - math word problems - page 18 of 167
Number of problems found: 3334
- Railing 3
A railing in a museum is filled with 18 glass panels in the shape of parallelograms with a side length of 40 cm and a corresponding height of 65 cm. How many m² of glass were needed to produce these panels? - Triangles - combinations
How many different triangles with sides of whole centimetres have a perimeter of 12 cm? - Wall and ladder
A ladder leans against a wall, reaching a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor? - Rhombus - ratio
In a rhombus, the ratio of a side to the height drawn to that side is 4:1, and its area is 49 cm². Calculate the length of the side and the height drawn to that side. - Two cubes 3
Two cubes made of plasticine have single-digit integer edge lengths differing by 1 cm. Can a single larger cube with an integer edge length be made from the same total amount of plasticine? - In a right-angled 17
In right triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of side e? - What is 19
What is the length of the hypotenuse c of right triangle ABC if the angle α at vertex A is 30° and leg a = 3 cm? - In a right-angled 15
In a right triangle ABC with hypotenuse c, leg b = 4.5 cm and tan α = 2/3. What is the length of leg a? - Hypotenuse of ABC
In a right triangle ABC with hypotenuse c, leg a = 6 cm and sin α = 3/5. What is the length of leg b? - Arbor
Calculate in square metres the area of an arbour whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m. - Distance - cities
Determine the actual distance between two cities if their distance on the map is 7.5 cm and the map scale is 1:60,000. - Liquid - pouring We need to pour the liquid from two cube-shaped containers into a single container. The original containers have edges of 0.7 m and 0.9 m. What will be the edge length of the combined cubic container?
- Rhombus 47 A rhombus has a side length of 5 m and a longer diagonal of 8 m. What is the length of the shorter diagonal?
- Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and its total surface area is twice the area of its base. Determine the length of its space diagonal. - PT - Pythagorean
A right triangle ABC has hypotenuse c and legs a and b. Estimate the length of the missing side and compare your estimate with the calculated value. a) a = 4 cm; b = 5 cm b) a = 6.8 m; b = 9 m c) a = 8.9 m; b = 1 m d) b = 10 cm; c = 20 cm e) b = 2.5 m; c - In a right triangle 13 The altitude to the hypotenuse of a right triangle is 4.8 cm. The two segments of the hypotenuse are in the ratio 4:3. Calculate the perimeter and area of the triangle.
- Vertical movement
Find the length of the vertical path you must travel to lift a weight using a force of 0.01 N and do 1 J of work. - Shadow - an observation tower
How tall is an observation tower if it casts a shadow 9.6 m long at the exact same moment that a half-metre pole casts a shadow 30 cm long? - Rectangle - perimeter, side
From the formula for the perimeter of a rectangle, express the length of side b and find its value for o = 28 cm and a = 7.5 cm. - Frames
A framer is to prepare 23 picture frames with dimensions of 30 cm × 42 cm. The strips from which he makes the frames are 3 metres long. a) How many frames can he make from one strip? b) How many strips will he need?
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