Square practice problems - page 112 of 150

Number of problems found: 2991

Pyramid
The pyramid has a base a = 2cm and height in v = 7 cm. a) calculate the angle between plane ABV and the base plane b) Calculate the angle between the edges on the opposite side.
Floating barrel
The barrel (cylinder shape) floats on water, the top of the barrel is 18 dm above water, and the width of the surfaced barrel part is 34 dm. The barrel length is 12 dm. Calculate the volume of the barrel.
Square circles
Calculate the length of the described and inscribed circle to the square ABCD with a side of 5cm.
Circle area
Find the area of the circle that is a) inscribed, b) described 6.32 cm square.
Square and circles
Square with sides 68 km is circumscribed and inscribed with circles. Determine the radiuses of both circles.
Isosceles trapezoid
The old father decided to change the top plate of an isosceles-like trapezoid, which has basic dimensions of 120 cm and 60 cm, and a shoulder that is 50 centimeters long. How much does it pay for a new plate and a square meter worth 17 euros?
Axial cut
The cone surface is 388.84 cm², and the axial cut is an equilateral triangle. Find the cone volume.
Cuboid's diagonal
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid?
How to
How can the total surface of a rectangular pyramid be found if each face is 8 dm high and the base is 10 dm by 6 dm?
Sphere cube filling
Nine identical spheres are stacked in the cube to fill the cube's volume as much as possible. What part of the volume will the cube fill?
Cone roof
How many m² of roofing is needed to cover a cone-shaped roof with a diameter of 10 m and a height of 4 m? Add an extra 4% to the overlays.
Cone volume
The area of the rotating cone shell is 240 cm², and the area of its base is 160 cm². Calculate the volume of this cone.
Regular triangular prism
Calculate the surface area of the body of a regular triangular prism when the length of its base edge is 6.5 cm, and its height is 0.2 m.
Pyramid 8
Calculate the volume and the surface area of a regular quadrangular pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°.
If we want
A children's pool has the shape of a cylinder with a base diameter of 4 m and a depth of 50 cm. a) Calculate the volume of water in litres that the pool can hold when filled to the brim. b) If we fill the pool to only 75% of its capacity, how many litres
A circle
A circle relation is given to be x² + y² =16. What is the radius of the circle?
Triangle circle radius
Calculate the radius of the circle circumscribed about a right triangle whose legs are 10 cm and 24 cm long.
Trapezoid field
The field between the two parallel roads is shaped like a trapezoid with 180 m and 100 m long bases. The distance between the roads is 80 m. When the yield of this type of cereal is 8.5 tons from 1 hectare, how many tons of barley were harvested in the fi
Prism surface
The base of the vertical prism is a right triangle with a perpendicular 5 cm. The area of the largest wall is 130 cm², and the body's height is 10 cm. Calculate the surface area of the body.
Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. Cone A was created by rotating this triangle around the longer leg, and cone B by rotating it around the shorter leg. Which cone has: a) a larger volume? b) a smaller lateral surface area? c) a larger total su

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