Rhomboid practice problems - page 2 of 3
Task: Work through each problem with care and demonstrate your solution process for each one.Number of problems found: 48
- Prism
Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm. - Diagonals
Construct a rhombus whose diagonals have lengths of 10 cm and 8 cm and make an angle of 115° with each other. - Rhombus construction
Construct a rhombus ABCD if AB = 5 cm, BD = 6 cm and AC = 3 cm - Two forces
The two forces, F1 = 580 N and F2 = 630 N, have an angle of 59 degrees. Calculate their resultant force, F. - Dusan
A) Dean breaks two same windows, which have a triangular shape with a length of 0.8 m and a corresponding height of 9.5 dm. Find how much dm² of glass he needs to buy for the glazing of these windows. b) Since the money to fix Dean has not been, it must g - Perimeter of rhombus
The area of the rhombus is 32 cm². One side measures 10 cm. The height on the other side measures 5 cm. What is the perimeter of this rhombus? - Rhombus Perimeter Diagonals
The diagonals of the diamond are 2.4 dm and 1.8 dm long. What is the perimeter of this diamond? - A rhombus 4
A rhombus has a side length of 10 cm. Find the angles at each vertex of the rhombus if the shorter diagonal measures 7 cm. Give your answers to the nearest degree and provide clear geometric reasoning at each step. - Truck bed
Calculate how many truckloads are needed to transport grain from the combine hopper. The hopper is a prism with a rhombus-shaped base with sides of 13 dm and a height of 2.8 m to the longest side. The hopper is 200 cm long. The truck bed is a cuboid with - Rhomboid
Calculate the perimeter and area of a parallelogram with sides 19 and 20 and an included angle of 40°. - Tetrahedral prism
Calculate the surface and volume of a tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are a = 12 cm, b = 7 cm, ha = 6 cm, and prism height h = 10 cm. - Construct
Construct a rhombus ABCD with side a = 7 cm, b = 5 cm, whose diagonal e is perpendicular to side b. - Three vectors
The three forces whose amplitudes are in ratio 9:10:17 act in the plane at one point to balance. Determine the angles of each of the two forces. - Rhombus construction
ABCD rhombus construction entered: a + b = 9 cm; AC = 4.5 cm; height ha = 3.5 cm How long do sides a and b measure? - Two patches
Peter taped the wound with two rectangular patches (one over the other to form the letter X). The area sealed with both patches simultaneously had an area of 40 cm² and a circumference of 30 cm. One of the patches was 8 cm wide. What was the width of the - 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°. - Prism + rhomboid
The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm. The edge of the base and the prism height are in a ratio of 2:5. How many liters of water is in the container when it is filled to four-fifths of t - Irregular hexagon
There is an irregular hexagon whose sides are the same length. The opposite sides are parallel; their distance is 237, 195, and 193. What is its area? - Garden fence
The quadrilateral garden should be fenced off with a slatted fence. The sides of the orchard are 65 m, 78 m, 40 m and 32 m. The wheels are to be placed 6 m apart, and the axes of the rims are 15 cm apart. How much is needed for a wheel fence, and how many - Parallelogram diagonals
Find the area of a parallelogram if the diagonals u1 = 15 cm and u2 = 12 cm and the angle formed by them is 30 degrees.
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