Square root - math word problems - page 48 of 73
Number of problems found: 1452
- 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? - Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid. - Circle perimeters
An inscribed circle is also described as an equilateral triangle with a side length of 8 cm. How many cm is the perimeter 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. - Hypotenuse
Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its area is 16 square centimeters. - Diamond side
Determine the length of the side of the diamond, with its two diagonals being 12 cm and 6 cm long. - Diagonals
Given a rhombus ABCD with a diagonal length of 8 cm and 12 cm. Calculate the side length and area of the rhombus. - Calculate chord
A circle k (S, 5 cm) is given. Calculate the length of the chord of the circle k if it is 3 cm from the center S. - Carpenter - kitchen
A carpenter leaned a 2-metre kitchen worktop against a wall. The lower edge is 0.75 m away from the wall. At what height from the ground does the top edge rest? - Aquarium volume
The aquarium is shaped like a cube and is partially filled with water. For Peter, a cube with an edge of 8 cm fell into it and completely sank. The water level in the aquarium rose by 1 cm. What is the volume of the whole aquarium? - Bucket
How many Kč (Czech crowns) will you pay for the painting of a room in the shape of a cuboid with floor dimensions of 5 and 4 m, given the height of the room is 3 m. You will not paint the floor, the door space (210 x 90 cm), and the space behind the mirro - The land
The land in the shape of a square has 9 ha. How big a side will the land have at a scale of 1:5000? - Ice cream cone
How many cm² of dough are needed to produce an ice cream cone if it is to hold 0.3 l of ice cream and its height is to be 15 cm. Add 8% for folds. 1. Convert litres into cm³ 2. Decide which data you can calculate first and from what formula. 3. Calculate - Square garden side
A rectangular garden is 81 metres long and 36 metres wide. How long will the side of a square garden with the same area be? - Circle area
Find the area of the circle that is a) inscribed, b) described 6.32 cm². - Cuboid easy
The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid. - Rectangle diagonals
Calculate for me the length of the diagonal of a rectangle whose size is 7 cm greater than its width and whose perimeter is 34 centimeters. The dimensions of the rectangle are expressed in natural numbers.
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