Volume + square - practice problems - page 17 of 26
Number of problems found: 516
- Children's pool
The children's pool at swimming pool is 10m long, 5m wide, and 50cm deep. Calculate: (a) how many m² of tiles are needed for lining the perimeter walls of the pool? (b) how many hectoliters of water will fit into the pool? - Body diagonal
Calculate the volume and surface of the cube if the diagonal body measures ten dm. - Height as diameter of base
The rotary cylinder has a height equal to the base diameter and a surface of 471 cm². Calculate the volume of a cylinder. - Density of the concrete
Find the density of the concrete of the cuboid-shaped column that has dimensions of 20 x 20 cm x 2 m if the weight of the column is 200 kg.
- Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or - Cuboid walls
Suppose the areas of three adjacent faces of a cuboid are 8 cm², 18 cm², and 25 cm². Find the volume of the cuboid. - Cube walls
Find the cube's volume and surface area if the area of one of its walls is 40 cm². - Calculate
Calculate the surface of the cube if its volume is 64 cm³. - Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume.
- Regular prism
The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume. - Triangular 6610
The curved part of the rotating cylinder is four times larger than the area of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Cylinder melted into cuboid
A circular cylinder has an area of cross-section 56cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16cm². What is the height of the cuboid? - Perpendicular prism network
Find the volume and surface of a triangular prism with the base of a right triangle, the network of which is 4 cm 3 cm (perpendiculars) and nine centimeters (height of the prism). - The volume
The volume of a solid cylinder is 260 cm³. The cylinder is melted down into a cuboid whose base is a square of 5cm. Calculate the height of the cuboid and the surface area of the cuboid.
- Square prism
Calculate the volume of a four-sided prism 2 dm high, and the base is a trapezoid with bases of 12 cm, 6 cm, the height of 4 cm, and 5 cm long arms. - Quadrangle prism
Find the volume of a quadrangle prism high 2 dm whose base is a square with a side of 15 cm. - The tank
The tank is full up to 4/5 of the total height and contains 240 hl of water. The area of the base is 6 square meters. What is the height of the tank? - Base of house
Calculate the volume of the bases of a square house. If the base depth is 1.2 m, the width is 40 cm, and their outer circumference is 40.7 m. - Dimensions 6496
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle.
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