Square root - math word problems - page 19 of 67

Number of problems found: 1327

Quadrilateral 4S prism
The edge lengths of a quadrilateral prism are in the ratio a:b:c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume.
Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap).
Quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid? The pyramid height is 30 cm, and the wall height is 50 cm.
Inaccessible direct
Determine the distance between two inaccessible places P, Q, if the distance between two observation points A, B is 2000m and if you know the size of the angles QAB = 52°40''; PBA = 42°01''; PAB = 86°40'' and QBA = 81°15''. The considered locations A, B,
Wooden 3
A wooden board 2.5 m long has a cross-section in the shape of a regular trapezoid whose parallel sides have lengths of 1.2 dm and 8 cm. The height of the trapezoid is 3 cm. Calculate: a) the surface area of the board to calculate the consumption of stai
Calculate radius
The surface of the sphere is 624 cm². Calculate its radius.
Calculate 69104
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen.
Expression 68814
Write the expression n, which is: (a) Six greater than twice the expression y; b) equal to the square root of the sum of the expression y and the number 3; (c) three times less than four times the expression y.
Intersections 68784
The figure shows the circles k₁(S₁; r1=9 cm) and k₂(S2; r2 = 5 cm). Their intersections determine a common chord t 8 cm long. Calculate the center distance |S₁ S₂| in cm to two decimal places.
The diameter 4
The cone's diameter is 14ft, and the height is 7 ft. What is the slant height?
Expression 68504
Determine the number by which we must multiply the expression (square root one plus one whole and one quarter) to obtain the number 12.
Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units.
A circle 2
A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is r units. The point (-15, y) lies in this circle. What are r and y (or y1, y2)?
Consider 3
Consider the isosceles trapezoid PQRS. The bases are |PQ|=120 mm, |RS|=62 mm and the arm s=48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid.
Perpendicular 68194
The closed box has the shape of a perpendicular prism with the base of an equilateral triangle. The edge of the base is 24 cm long, and the height of the box is 0.5 m. Calculate how many square meters of cardboard are needed to make 20 such boxes, assumin
Centimeters 68084
The cube-shaped container has a surface area of 320 square centimeters without a lid. Calculate its volume.
Cube-shaped 67884
The cube-shaped drawer has an area of 405 dm square. Calculate the volume of this drawer.
Length = 3 width
The length of a cuboid is thrice its width. The height and volume of the cuboid measure 4cm and 300 cubic cm, respectively. What is the length of this cuboid?
Percentage + sphere
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1?
Triangle 67504
Sestroj triangle HOP, if o = 6 cm, h = 8 cm and | PHO | = 90 °

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