Prism practice problems - page 23 of 28
Number of problems found: 550
- Measures 23791
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the body diagonal?
- Block-shaped 13531
The sheet of wrapping paper measures 100cm and 70cm. Is it enough to wrap a gift in a block-shaped box with dimensions of 40 cm, 25 cm, and 20 cm?
- Cleaning the pool
The swimming pool is 25 m long, 12 m wide, and 2 m deep. The walls and bottom of the pool require regular cleaning. The company that cleans the pool charges CZK 50 per 1 square meter. How much does the owner pay for cleaning the pool?
- 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?
- Surface area
Calculate the surface area of a four-sided 2-m high prism whose base is a rectangle with sides of 17 cm and 1.3 dm.
- 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.
- Dimensions 48161
A block with dimensions a = 15cm b = 5cm and a block height c = 8cm. Calculate the length of the wall diagonal in the base.
- Rainfall
How many liters of water fell in a 32m long and 8m wide garden if 8mm of rain fell?
- Reinforcement 42491
The concrete ring (used for reinforcement in wells) has an inner diameter of 800 mm and an outer diameter of 900 mm. It is made of concrete with a density of 2,500 kg/m³. Its height is 1 m. Calculate its mass.
- 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.
- 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
- Cross-section 35063
How many m² of sheet metal are needed to plat chimneys 4 m high with a rectangular cross-section measuring 2.5 m and 1.2 m?
- 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
- Wall and body diagonals
The block/cuboid has dimensions a = 4cm, b = 3cm, and c = 12cm. Calculate the length of the wall and body diagonals.
- 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.
- Dimensions 6264
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.
- 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?
- Measuring aquarium
We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level?
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