Square root - math word problems - page 46 of 70

Number of problems found: 1386

Longest rod
The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box.
Cube diagonal
Calculate the length of the body diagonal in a cube of 15 cm.
Cone cutout
The cone shell with a base radius of 20 cm and a height of 50 cm unfolds into a circular cutout. How big is the center angle of this cutout?
Land exchange
Mr. Sova had a plot of land with an area of 3600 m². However, he exchanged it for another square plot, which was 5 m larger. How many m² does the larger land now have?
Rectangular trapezoid
The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid.
Surface and volume
What is the volume of a sphere with a surface area of 113.04 square meters?
Pentagon
Calculate the length of a regular pentagon's side, circumference, and area, inscribed in a circle with a radius r = 6 cm.
Perimeter from area
What is the perimeter of the square if its area is 64 cm²?
Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal?
Cube and sphere
A cube with a surface area of 150 cm² is described sphere. What is a sphere surface?
Triangle perimeter
The area of an equilateral triangle is 81 times three below the square root of cm². Calculate its circumference.
Square diagonal
Calculate the diagonal of a square if its area is equal to 169 square centimeters.
Ladder
The ladder, 10 meters long, stays against the wall so that its bottom edge is 6 meters away from the wall. What height does the ladder reach?
Two diagonals
The rhombus has a side length of 12 cm and a length of one diagonal of 21 cm. What is the length of the second diagonal?
Rectangle pool
Find the dimensions of an open pool with a square bottom and a capacity of 32 m³ that can have painted/bricked walls with the least amount of material.
Midpoint triangle
Triangle ABC is equilateral with a side length of 8 cm. Points D, E, and F are the sides AB, BC, and AC midpoints. Calculate the area of triangle DEF. In what ratio is the area of triangle ABC to the area of triangle DEF?
Circle perimeters
An inscribed circle is also described as an equilateral triangle with a side length of 8 cm. How many cm is the circumference of the inscribed circle smaller than the circumference of the described circle?
Rectangle diagonals
It is given a rectangle with an area of 24 cm² and a circumference of 20 cm. The length of one side is 2 cm larger than the length of the second side. Calculate the length of the diagonal. Length and width are yet expressed in natural numbers.
Diagonals
Given a rhombus ABCD with a diagonal length of 8 cm and 12 cm. Calculate the side length and area of the rhombus.
Carpenter - kitchen
The carpenter leaned the two-meter kitchen counter against the wall. The lower edge is 0.75m away from the wall. At what height from the ground is the board's top edge resting?

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