Square practice problems - page 87 of 153
Number of problems found: 3052
- Three vertices
The vertices of triangle ABC are: A[1, 2, -3], B[0, 1, 2], C[2, 1, 1]. Calculate the lengths of sides AB, AC and the angle at vertex A. - Distance of the parallels
Find the distance of the parallels, which equations are: x = 3-4t, y = 2 + t and x = -4t, y = 1 + t (instructions: select a point on one line and find its distance from the other line) - The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm² and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder. - Ratio 52
The ratio of the surface area of a cube to its volume is 2:1. Calculate: a) the edge length of the cube in cm, b) the volume of the cube in cm³, c) the surface area of the cube in cm². - Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container. - Unit resistance
What is the resistance of a two-conductor line 10 m long made of 4.0 mm² aluminum wire? - Aquarium shelf area
The block-shaped aquarium is 40 cm high and has a volume of 80 l. What area in m² will it occupy on the shelf on which it is built? - Water height
The water tank has the shape of a block. The bottom of the tank is square, with a side length of 3 m. There are 22,500 liters of water in the tank. To what height in meters does the water in the tank reach the specified amount? - Cone paper
Pepíček went to school on the first day. Dad made him a paper cone for sweets in the shape of a cone with a side length of 50 cm and a base radius of 10 cm. How many cm² of paper did he need to make the cone? - Cube volume edge
1. Calculate the volume of a cube whose edge is 3.6 dm long. 2. Calculate the edge's size if you know its surface S = 2166 mm². - Cuboid edges
The lengths of the cuboid edges are in the ratio 2:3:4. Find their length if you know that the surface of the cuboid is 468 m². - Aquarium water calculation
The square-shaped aquarium is 65 cm long, 24 cm wide, and 30 cm high. How many liters of water are in an aquarium if the water reaches 5 cm below its upper edge? - Box paper calculation
How many m² of paper are needed to produce 1000 pieces of cube-shaped boxes with an 8 cm edge when we must add one-quarter of the area to the joints? - Aquarium
There are 15 liters of water in a block-shaped aquarium with internal dimensions of the bottom of 25 cm and 30 cm. Find the area of water-wetted surfaces. Express the result in dm square. - Block edge
The block's surface area is 94 cm². The lengths of its two edges are a = 3 cm and b = 5 cm. Calculate the length of its third edge. Let's say: From the formula for the block surface, first calculate c. - The pipeline
How long is a pipe with an outer diameter of 1.4 m if painting it consumed 35 kg of paint? One kilogram of paint covers 9 m². - Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (-1, 24) and v = (-8, -21) - Isosceles triangle
In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C. - Similarity coefficient
The similarity ratio of two equilateral triangles is 4.3 (i.e., 43:10). The length of the side of the smaller triangle is 7.5 cm. Calculate the perimeter and area of the larger triangle. - Calculate
A cone has a base diameter of 16 cm and a slant height of 10 cm. Calculate its surface area and volume.
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