Square practice problems - page 142 of 153
Number of problems found: 3052
- Hexagonal prism
The box of a regular hexagonal prism is 4 cm high, and the lid has sides 20 cm long. How much cardboard is needed to make it? (No part is double) - Quadrilateral circle radius
Given is a quadrilateral ABCD inscribed in a circle, with the diagonal AC being the circle's diameter. The distance between point B and the diameter is 15 cm, and between point D and the diameter is 18 cm. Calculate the radius of the circle and the perime - 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 - Lawns
Before a sports hall are two equally large rectangular lawns measuring 40 m and 12 m. Maintenance of a 10 m² lawn costs 45 CZK yearly. On each lawn is a circular flowerbed with a diameter of 8 meters. How much money is needed each year to take on lawn car - Spherical segment
The spherical segment with height h=2 has a volume of V=225. Calculate the radius of the sphere which is cut in this segment. - Circles
In the circle with a radius, 7.5 cm is constructed of two parallel chords whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions, write both). - Black building
Jozef built a building with a rectangular footprint of 3.9 m × 6.7 m. Calculate by what percentage the building exceeds the legal limit of 25 m² for a small building. A building constructed without planning permission is called an illegal building. Also c - Pyramid surface volume
Calculate the surface area and volume of a regular quadrilateral pyramid if the edge of the lower base is 18 cm and the edge of the upper base is 15 cm. The wall height is 9 cm. - Pyramid roof
3/5 of the lateral surface area of a regular quadrilateral pyramid with base edge 9 m and height 6 m has already been covered with roofing. How many square metres still need to be covered? - Hexagonal prism volume
A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3 cm and 4 cm. The - The radius
A right circular cone's radius and slant heights are 9 cm and 15 cm, respectively. Find, correct to one decimal place, the (i) Height (ii) Volume of the cone - A concrete pedestal
A concrete pedestal has the shape of a right circular cone and a height of 2.5 feet. The diameters of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the pedestal's lateral surface area, total surface area, and volume. - Rectangle construction diagonal
Construct a rectangle ABCD if a = 8 cm and the length of the diagonal AC is 13 cm. Measure the length of the sides of the rectangle. - Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume. - Hexagonal pyramid
Calculate the volume and the surface of a regular hexagonal pyramid with a base edge length of 3 cm and a height of 5 cm. - Pyramid volume surface
Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm. - Quadrilateral pyramid The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base
- Pyramid surface calculation
Calculate the surface area of a regular quadrilateral pyramid given: a= 3.2 cm h= 19 cm Method: 1) calculation of the height of the side wall 2) area of the base 3) shell areas 4) the surface of a regular quadrilateral pyramid - Pyramid volume calculation
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's volume if the base edge's length is 20 dm. - Tangents to ellipse
Find the magnitude of the angle at which the ellipse x² + 5 y² = 5 is visible from the point P[5, 1].
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