Fractions + square (second power, quadratic) - practice problems - page 8 of 14
Number of problems found: 266
- Hexagonal 29141
Calculate the volume and surface of a regular hexagonal prism with a base edge a = 30 m and a side edge b = 50 m. - Quadrilateral 44471
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height. - Lengths 63174
The block has a square base of 36 dm2, and its height is 1/3 of the length of the base edge. Find the sum of the lengths of all edges of a block. - Two brothers
The two brothers were to be divided according to the will of land at an area of 1ha 86a 30m² in a ratio of 5:4. How many will everyone get?
- Calculate 32321
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm. - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - Diameter 21173
The water ball has a volume of 32,500m². How big is its diameter? - Coordinates 65224
The line PQ is determined by points with coordinates P = [- 2; 4] and Q = [4; 0]. What are the coordinates of the center S of the line segment PQ? - Two gears
The gearbox will use a large gear to turn a smaller gear. The large gear will make 75 revolutions per minute, while the smaller gear must make 384 revolutions per minute. Find the smallest number of teeth each gear could have. [Hint: Use either GCF or LCM
- Calculate 82549
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid. - Calculate 25391
The base of the prism is a square with a side of 10 cm. Its height is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume. - Calculate 73434
Calculate the volume and surface area of the cone with a diameter of 20 cm and a height of 15 cm. - Corresponding 68604
The prism with a square base has a volume of 200 liters, and the length of its base edge is a decimeter. Write the height of the prism with the corresponding expression of the prism in decimetres. - Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down?
- Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units. - Surface 67004
A block with a square base with an edge length of 4 dm has a surface area of 112 dm square. Find its height. - Quadrilaterals 7224
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF parties are twice as long as the other parties. The lines BG and EL intersect at point M and divide the dode - Calculate 69244
The surface of the sphere is 624 cm². Calculate its radius. - Complaints
The table is given: days; complaints 0-4; 2 5-9; 4 10-14; 8 15-19; 6 20-24; 4 25-29; 3 30-34; 3 1.1 What percentage of complaints were resolved within two weeks? 1.2 calculate the mean number of days to resolve these complaints. 1.3 calculate the modal nu
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