Prism practice problems - page 22 of 28
Number of problems found: 550
- Water level  How high is the water in the swimming pool with dimensions of 37m in length and 15m in width if an inlet valve is opened for 10 hours, flowing 12 liters of water per second? How high is the water in the swimming pool with dimensions of 37m in length and 15m in width if an inlet valve is opened for 10 hours, flowing 12 liters of water per second?
- Calculate 81939  The block surface is 5,632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid. The block surface is 5,632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid.
- Iceberg  What is the surface area of a 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg? What is the surface area of a 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg?
- 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. 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.
- Sand path  How much m³ of sand is needed to fill the 1.5m wide path around a rectangular flowerbed of 8m and 14m if the sand layer is 6cm high? How much m³ of sand is needed to fill the 1.5m wide path around a rectangular flowerbed of 8m and 14m if the sand layer is 6cm high?
- Square prism  Calculate the volume of a square prism of high 2 dm wherein the base is: Rectangle with sides of 17 cm and 1.3 dm Calculate the volume of a square prism of high 2 dm wherein the base is: Rectangle with sides of 17 cm and 1.3 dm
- Cutting the prism  A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism? A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism?
- Perpendicular 79804  A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3cm and 4cm. The he A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3cm and 4cm. The he
- Present  The gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover it with square paper with sides of 18 cm. How much paper was left to him? The gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover it with square paper with sides of 18 cm. How much paper was left to him?
- Lengths  63174   The block has a square base of 36 dm2, and its height is 1/3 of the length of the base edge. Find the sum of the lengths of all edges of a block. The block has a square base of 36 dm2, and its height is 1/3 of the length of the base edge. Find the sum of the lengths of all edges of a block.
- Aquarium  28461   The aquarium has a bottom in the shape of a square a = 8 dm. How many liters of water flowed into it if its level rose by 10 cm? The aquarium has a bottom in the shape of a square a = 8 dm. How many liters of water flowed into it if its level rose by 10 cm?
- Dimensions  6264   Calculate the length of the body diagonal of a block whose dimensions are a = 5cm, b = 6cm, c = 10cm. Calculate the length of the body diagonal of a block whose dimensions are a = 5cm, b = 6cm, c = 10cm.
- Three faces of a cuboid  The diagonals of the three walls of a cuboid are 13, √281, and 20 units long, respectively. Thus, the cuboid's total surface area is. The diagonals of the three walls of a cuboid are 13, √281, and 20 units long, respectively. Thus, the cuboid's total surface area is.
- Perpendicular  5424   A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism?
- Dimensions  3406   We poured 3 liters of water into an empty aquarium, with a bottom dimension of 30x30cm and a height of 25cm. What is the level? We poured 3 liters of water into an empty aquarium, with a bottom dimension of 30x30cm and a height of 25cm. What is the level?
- Measuring  aquarium  We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level? We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level?
- Quadrilateral  prism  Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle) Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle)
- Nice prism  Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm.
- Painting  To paint the pool with dimensions: 2 meters depth, 3m x 4m we bought paint to 50 meters square. How much "paint" will be wasted? To paint the pool with dimensions: 2 meters depth, 3m x 4m we bought paint to 50 meters square. How much "paint" will be wasted?
- Tetrapack  How high should the milk box be in the shape of a prism with base dimensions 8 cm and 7.2 cm if its volume is 1 liter? How high should the milk box be in the shape of a prism with base dimensions 8 cm and 7.2 cm if its volume is 1 liter?
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