Square root + diagonal - practice problems

Number of problems found: 51

Regular square prism
The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism.
Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus which diagonals of 12cm and 18cm and prism height are 10 cm.
Rhombus and diagonals
The lengths of the diamond diagonals are e = 48cm, f = 20cm. Calculate the length of its sides.
Height of pyramid
The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height?
A rectangle 2
A rectangle has a diagonal length of 74cm. Its side lengths are in ratio 5:3. Find its side lengths.
Cincinnati
A map is placed on a coordinate grid. Cincinnati located at (5,4) and San Diego is located at (-10, -3). How far apart is Cincinnati from San Diego on the map? Round to the nearest tenth.
Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³.
Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
ABCD square
In the ABCD square, the X point lies on the diagonal AC. The length of the XC is three times the length of the AX segment. Point S is the center of the AB side. The length of the AB side is 1 cm. What is the length of the XS segment?
Calculate
Calculate the length of the wall diagonal of the cube with an edge 5 cm long.
Body diagonal
Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base,
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?
Cube and sphere
Cube with the surface area 150 cm² is described sphere. What is sphere surface?
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?
Diagonals
Given a rhombus ABCD with a diagonalsl length of 8 cm and 12 cm. Calculate the side length and content of the rhombus.
Square s3
Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference.
Diagonal of the rectangle
Calculate the rectangle's diagonal, which area is 54 centimeters square, and the circuit is equal to 30 cm.
Diagonals
A diagonal of a rhombus is 20 cm long. If it's one side is 26 cm, find the length of the other diagonal.
Concrete block
Determine the volume of the concrete block whose one edge of the base has a length of 3 meters, body diagonal is 13 meters, and its height is 12 meters.
Kite
John a kite, which is diamond-shaped. Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper John needs to make a kite if he needs a paper on both sides and needs 5% of the paper for bending.

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Square root - practice problems. Diagonal - practice problems.