Square root - practice problems - page 6 of 69

Number of problems found: 1376

Triangle ABP
An isosceles trapezoid ABCD is given. The length of side AB is 10 cm, the length of CD is 7 cm, and the height to side AB is 4 cm. Point P is the base of the altitude to side AD. Calculate the area of the triangle ABP.
Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12cm and a height of the prism equal to the diameter of the circle circumscribed by the base?
Tunnel - quadrilateral
How long will the tunnel AB be, distances AD=35 m, DC=120 m, CB=85 m, and angles ADC=105 degrees and BCD=71 degrees. ABCD is a quadrilateral.
216 surface area and volume
Calculate the surface area and volume of a regular tetrahedral pyramid: a = 6 cm and the body height is 12 cm.
4B - truncated pyramid
Calculate the volume of a regular truncated quadrilateral pyramid if the base edges are 10cm and 4cm and the height of the side wall is 5cm.
Legs and ratio
For the legs of a right triangle, a : b = 6:8. The hypotenuse has a length of 61 cm. Calculate the perimeter and area of this triangle.
RRL Basics
What is the length of the smaller base of an isosceles trapezoid and the height, if a = 9 dm, the side is 6 dm and the angle ACB is 90 degrees?
In a regular 5
In a regular triangular prism ABCV, the deviation of the side wall and the base plane is α = 45°. Determine the deviation of the side edge and the base plane.
Construct 22
Construct a rhombus ABCD if the diagonals are f=7cm, e=5 cm.
Base RR odd
The base of the prism is an isosceles trapezoid ABCD with bases AB = 12 cm, and CD = 9 cm. The angle at vertex B is 48° 10'. Determine the volume and area of the prism if its height is 35 cm.
RR trapezoid 12
In an isosceles trapezoid ABCD, calculate the missing lengths of the sides when a=46cm, b=85cm height=84cm.
Area 51
The area of the triangle is 54.39, alpha is 32 °, and gamma is 144 °.
Calculate
A rotating cone has a diameter of 16 cm and a side of 10 cm. Calculate the surface area and volume of the solid.
Quadrilateral - irregular
Find the length of the side d = |AD| in quadrilateral ABCD: a= 35m, b= 120m, c=85m, angle ABC = 105 degrees, angle BCD= 72 degrees
Rhombus 48
A rhombus consists of four identical rhombuses with an area of 42 m². The angle alpha of each rhombus is 60°. What is its perimeter?
Observation tower
The observation tower is covered with a roof in the shape of a regular quadrangular pyramid with a base edge of 8 m and a height of 6 m. 60% of the roofing needs to be replaced. How many m² do you need to buy?
A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 24 m 0.8 m and 0.5 m. What will be the volume of a chest in the shape of a cube with the same surface area?
RR trapezoid
Given an isosceles trapezoid ABCD with bases |AB| = 36 m, |CD| = 200 dm, and |BC| = 10m. Calculate the area and perimeter of the trapezoid and the length of the diagonal AC
Table - tablecloth
Mrs. Vránová has a square table with a side length of 110 centimeters. She wants to have a square tablecloth sewn on it so that its corners extend beyond the edges of the table by 25 centimeters. What dimensions should the tablecloth have?
Segments on the hypotenuse
A right triangle ABC has a hypotenuse of c=26cm. How many segments does the height vc=12 cm cut out on the hypotenuse c? What are the lengths of the sides a and b? What are the angles at the vertices A and B?

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