Triangle + square - practice problems - page 20 of 41
Number of problems found: 802
- Diagonals 5551
The cube has a wall area of 81 cm². Calculate the length of its edge, wall, and solid diagonals. - Construction 82703
The plot of land for constructing family houses is shaped like a rectangular trapezoid with bases of 21m and 11.2m. For CZK 2,500 per square meter, the value of the land is calculated at CZK 1,352,400. What would be the length of wire mesh needed to fence - Prism - right isosceles
Find the volume and surface of a prism with a height of 120 mm, the base of which is a right isosceles triangle with a leg length of 5 cm. - Triangular prism
The base of the perpendicular triangular prism is a right triangle with a leg length of 5 cm. The area of the largest sidewall of its surface is 130 cm², and the body's height is 10 cm. Calculate its volume.
- Diagonal 8192
Find the volume and surface of a cube if you know the length of its body diagonal u = 216 cm. - Dimensions 6264
Calculate the length of the body diagonal of a block whose dimensions are a = 5cm, b = 6cm, c = 10cm. - Square and circles
Square with sides 62 mm is circumscribed and inscribed with circles. Determine the radiuses of both circles. - Angles of elevation
From points A and B on level ground, the angles of elevation of the top of a building are 25° and 37°, respectively. If |AB| = 57m, calculate, to the nearest meter, the distances of the top of the building from A and B if they are both on the same side of - Trapezoid 7537
Diagonal alpha equals 0.4 m, and diagonal beta equals 0.4 m in the isosceles trapezoid. Side AB is 120 cm, and side DC is 7.6 dm. Find the length of arms in an isosceles trapezoid. Please result round to 2 decimal places.
- Triangle's 16613
They make bases for table lamps from bronze in the shape of an isosceles triangle. How many m² are needed for 5 mats if the arms are 24 cm long and the height to the triangle's base is 1.5 dm? - Triangular 46641
The regular triangular pyramid ABCDV has a base edge length of 8 cm and a height of 7 cm. Calculate the pyramid's surface area and volume. - Diameter 44511
The tower's roof has the shape of a cone with a base diameter of 12 m and a height of 8 m. At least how many square meters of roofing are needed to cover? - Calculate 32133
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals. - Three-walled 8272
I have only entered the height of a regular three-walled pyramid h = 10 cm. How do I calculate its edge length?
- Axial cut
The cone surface is 388.84 cm2, and the axial cut is an equilateral triangle. Find the cone volume. - How to
How to find a total surface of a rectangular pyramid if each face is 8 dm high and the base is 10 dm by 6 dm? - Cone roof
How many m² of roofing is needed to cover a cone-shaped roof with a diameter of 10 m and a height of 4 m? Add an extra 4% to the overlays. - Square pyramid
Calculate the pyramid's volume with the side 5 cm long and with a square base, and the side base has an angle of 60 degrees. - Diagonal - simple
Calculate the length of the diagonal of a rectangle with dimensions 5 cm and 12 cm.
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