Square practice problems - page 118 of 150
Number of problems found: 2994
- Northeasterly 9681
A military unit marches in a northerly direction from point A to point B, 15 km away. From place B, it goes 12 km in a northeasterly direction to place C. Determine the direct distance of cities A and C and certainly the deviation -alpha- by which the uni - Company logo
The company logo consists of a blue circle with a radius of 4 cm and an inscribed white square. What is the area of the blue part of the logo? - Perimeter 6254
Perimeter and area of the rectangle. Diagonal 260m and one side 150m - Perimeter 81600
The radius of the circular bed is 2 m. Around it is an area filled with sand, the border of which is formed by the sides of a square with a length of 5 m and the bed's perimeter. Calculate the volume of the area covered with sand. - Diameter 3545
A 2.4 m wide path will be paved around a circular lake with a diameter of 8.2 m. How much will the paving cost when 1m square costs 350 kc? - Isosceles right triangle
The area of an isosceles right triangle is 18 dm². Calculate the length of its base. - Pool
The prism-shaped pool is 2 m deep, with a bottom of the isosceles trapezoid, base dimensions of 10 m and 18 m, and arms legs 7 m long and 5.7 m long. During the spring cleaning, we must paint the bottom and walls of the pool. How many m² of paint should b - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. One cone (let's call it A) was created by rotating this triangle around the long leg, and the other (let's call it B) by rotating it around the shorter leg. Which cone has: a) a larger volume b) a smaller surf - 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? - Cone and the ratio
The rotational cone has a height of 59 cm, and the ratio of the base surface to the lateral surface is 10: 12. Calculate the surface of the base and the lateral surface. - Cuboid
Cuboid with edge a=6 cm and space diagonal u=31 cm has volume V=900 cm³. Calculate the length of the other edges. - Isosceles trapezoid
In an isosceles trapezoid KLMN, the intersection of the diagonals is marked by the letter S. Calculate the area of the trapezoid if /KS/: /SM/ = 2:1 and a triangle KSN is 14 cm². - Identical 35961
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? - Calculate 30971
Calculate the cone's surface and volume if its base diameter is 1 dm and the side length is 13 cm. - Right-angled 6034
A three-sided prism has a base in the shape of a right-angled triangle with a length of 5 cm. The giant wall of the prism shell has a volume of 104 cm². The prism is 8 cm high. Calculate the volume and surface area of the prism. - Perimeter 31761
Mr. Marek wants to build a circular pond in his garden. He wishes the perimeter of the pond in meters and the area in square meters to be expressed in the same numbers. What is the radius of the pond? - Spherical cap
Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which we cut the spherical cap. - Perpendicular prism network
Find the volume and surface of a triangular prism with the base of a right triangle, the network of which is 4 cm 3 cm (perpendiculars) and nine centimeters (height of the prism). - 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. - 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.
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