Square root + volume - practice problems - page 4 of 12
Number of problems found: 223
- Percentage 67564
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1? - Milliliters 66834
The cube-shaped vase contains 320 ml of water, which reaches a height of 5 CM. How many milliliters of water can we pour into the vase, so the water does not run out? - Hexagonal 66574
The candle is made from wax in the shape of a regular hexagonal pyramid. It has a height of 6.5 cm and a length of the base edge of 3 cm. Find the volume of wax. - Right-angled 66344
From a square with a side of 4 cm, we cut four right-angled isosceles triangles with right angles at the square's vertices and with an overlap of √2 cm. We get an octagon. Calculate its perimeter if the area of the octagon is 14 cm².
- Perpendiculars 66274
The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle? - Calculate 66254
Calculate the volume and surface of a regular hexagonal prism with a height v = 2cm and a base edge a = 8cm. - Circumference 66134
The isosceles trapezoid ABCD has an area of 36 cm². One of its bases is two times longer than the other. Height is 4 cm. Calculate the circumference of the trapezoid. - Calculate 65804
Calculate the surface and volume of a rotating cone, the base of which has a diameter of 6 cm and its height of 4 cm. - Increase 65794
The area of the square is 36 cm². What will be the area of the square if we increase the length of a side by 25%?
- Hypotenuse 65744
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm - Trapezoid 65644
In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm². - Measuring 65374
Calculate the length of the body diagonal of a block measuring 6 cm, 7 cm, and 10 cm, and round the result to two decimal places. - Calculate 65354
Calculate the surface of a spherical paragraph with a height of 6 cm and a radius of 15 cm - Calculate 65154
Each square of the net has an area of 25 mm². Calculate the area of the DEF triangle in cm². Express the result as a decimal number to three decimal places.
- Substantial 65114
Calculate the volume of a regular triangular prism with a substantial edge length of 8 cm and a prism height of 17 cm. - Calculate 65014
The radius of the circle is 5.5 cm. The height is 2.3 cm, which is the chord's distance. How can we calculate the length of the string? - Horizontal 64864
The meter stick is located on the meridian plane and deviated from the horizontal plane to the north by an angle of magnitude 70°. Calculate the length of the shadow cast by a meter stick at true noon if the Sun culminates at an angle of 41°03'. - Surface 64744
The cone is 12 cm high, and the radius of the figure is 9 cm. Find out its surface. - Quadrangular 64724
The decorative object has a quadrangular pyramid shape, the base edge is 0.7 dm, and the side edge is 1.4 dm long. Calculate the height of the object.
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