Square (second power, quadratic) + diagonal - practice problems - page 8 of 14
Number of problems found: 274
- Square inscribed
Find the length of the side of the square ABCD, which is inscribed to a circle k with a radius of 10 cm. - Body diagonal
Calculate the length of the body diagonal of the 6cm cube. - Diagonal
The rectangular ABCD trapeze, whose AD arm is perpendicular to the AB and CD bases, has an area of 15 cm square. Bases have lengths AB = 6cm, CD = 4cm. Calculate the length of the AC diagonal. - Volume and body diagonal
Calculate how much the cuboid's volume and body diagonal decrease if we reduce each of its three edges, a, b, and c, by 18%.
- Decreases 5625
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%? - Cross-section 5567
What diameter must the trunk of a tree have to carve a beam with a square cross-section of 20 cm on it? - Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Diagonal 5541
How many zeros does the unit matrix E contain, which has three units in the main diagonal?
- Centimeters 5533
Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters. - Calculate 5499
Calculate the area of the circle, which is described by a square with a side length of 7.5 cm. - Calculate
Calculate the length of the wall diagonal of the cube with an edge 5 cm long. - Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters. - Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder diagonal is 20 cm. Find the exact surface area of the top of the cylinder.
- MO Z9–I–2 - 2017
VO is a longer base in the VODY trapezoid, and the diagonal intersection K divides the VD line in a 3:2 ratio. The area of the KOV triangle is 13.5 cm². Find the area of the entire trapezoid. - Quadrangular prism
Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal 22 cm. - Body diagonal
Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base, - Cube wall
The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube. - Calculate 5255
The area of the square is equal to 2.56 square meters. Calculate its diagonal.
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