Square practice problems - page 111 of 153
Number of problems found: 3052
- Prism and wall diagonal
The ABCDA'B'C'D' prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC' is 11.4 cm long. Calculate the surface area and volume of the prism. - Triangular pyramid
Calculate the volume and surface area of a regular triangular pyramid with a height equal to the base edge, which is 10 cm long. - Cone
Calculate the volume and surface area of the cone with a diameter of the base d=16 cm and the side of the cone with the base has angle 37°12'. - A rhombus 3
A rhombus has a side length of 6 centimeters and a height of 2 centimeters. What is the area of the rhombus in centimeters square? - Cone sphere volume
A sphere is inscribed in an equilateral cone with a base diameter of 12 cm. Calculate the volume of both bodies. What percentage of the volume of the cone is filled by the inscribed sphere? - Cone roof cost
The roof of the castle tower has the shape of a cone with a base diameter of 12 m and a height of 8 m. How many euros will we pay to cover the roof if 1 m of square roofing costs 3.5 euros? - Tower roof area
The administrator of the castle is trying to estimate how many square meters of sheet metal will be needed for the new roof of the tower. The roof has the shape of a cone. The castle administrator knows that the tower's diameter is 4.6 meters and its heig - Castle tower
The castle tower has a cone-shaped roof with a diameter of 10 meters and a height of 8 meters. If we add one-third to the overlap, calculate how many m² of coverage is needed to cover it. - Pyramid in cube
In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid. - Cube diagonals
If you know the length of the body diagonal u = 216 cm, determine the cube's volume and surface area. - Rotary cone
The volume of the rotation of the cone is 733 cm³. The angle between the side of the cone and the base angle is 75°. Calculate the lateral surface area of this cone. - Circle triangle hole
Calculate the area of the circle in which the hole is cut in the shape of an equilateral triangle when the diameter of the circle, d=32 mm, and the side of the triangle, a=20.8 mm. - Toy cubes
From children's wooden cubes in the shape of a prism with a square base (the side of the base is 4 cm long, the height of the prism is 8 cm) a fortress is built with towers made of two cubes on top of each other ending in pyramids with the same base as th - TV screen width
The diagonal of the TV screen is 82 cm, and the height is 40 cm. Calculate the width of the screen. - Garden perimeter area
Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9 m long. - Calculate
Calculate the area cm² diamond with a side length of 9.8 cm and a height on the side of 5 cm. - Perimeter of a triangle
A triangle has the shortest side a=5 cm, the middle side b, and the longest side c=10 cm. A square has a side x=7 cm, which is as long as the side b of the mentioned triangle. A cuboid has a height of 12 cm, a length the same as the longest side of the tr - Triangular prism
The triangular prism has a base in the shape of a right triangle, the legs of which are 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²? - Storm and roof
The roof of the building is a cone with a height of 3 meters and a radius equal to half the height of the roof. How many m² of the roof need to be repaired if 20% were damaged in a storm? - Pyramid Roof Sheet Metal
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8 m and a base edge of 4 m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof?
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