Quadratic equation + diagonal - practice problems

Number of problems found: 27

Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and the body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls.
Perimeter and diagonal
The perimeter of the rectangle is 82 m, the length of its diagonal is 29 m. Find the dimensions of the rectangle.
Block or cuboid
The wall diagonals of the block have sizes of √29cm, √34cm, √13cm. Calculate the surface and volume of the block.
A rectangle 2
A rectangle has a diagonal length of 74cm. Its side lengths are in ratio 5:3. Find its side lengths.
Faces diagonals
If a cuboid's diagonals are x, y, and z (wall diagonals or three faces), then find the cuboid volume. Solve for x=1.3, y=1, z=1.2
Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in ratio 2 to 7.
Rectangle
There is a rectangle with a length of 12 cm and a diagonal 8 cm longer than the width. Calculate the area of a rectangle.
Diamond diagonals
Find the diamond diagonal's lengths if the area is 156 cm² and side is 13 cm long.
Diagonals of a rhombus 2
One diagonal of a rhombus is greater than the other by 4 cm. If the area of the rhombus is 96 cm², find the side of the rhombus.
Diagonals
What x-gon has 54 diagonals?
Solid cuboid
A solid cuboid has a volume of 40 cm³. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has a length of 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig.
Diamond diagonals
Calculate the diamonds' diagonals lengths if the diamond area is 156 cm square, and the side length is 13 cm.
Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder’s diagonal is 20 cm. Find the surface area of the top of the cylinder.
Diagonal 20
Diagonal pathway for the rectangular town plaza whose length is 20 m longer than the width. if the pathway is 20 m shorter than twice the width. How long should the pathway be?
Diamond diagonals
Calculate the diamond's diagonal lengths if its content is 156 cm² and the side length is 13 cm.
Rectangle
The rectangle has a perimeter 75 cm. Diagonal length is 32.5 cm. Determine the length of the sides.
Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double as one of the square bases. What is the length of the body diagonal?
Rectangle diagonals
It is given a rectangle with an area of 24 cm² 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.
Diagonal of the rectangle
Calculate the rectangle's diagonal, which area is 54 centimeters square, and the circuit is equal to 30 cm.
Polygon 42
Which polygon has 42 more diagonals than sides?

Do you have an exciting math question or word problem that you can't solve? Ask a question or post a math problem, and we can try to solve it.

Looking for help with calculating roots of a quadratic equation? Quadratic Equations Problems. Diagonal - practice problems.