Prism practice problems - page 14 of 27
A prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases. Prisms are named for their bases, so a prism with a pentagonal base is called a pentagonal prism.Number of problems found: 527
- Swimming 8077
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 form that cleans the pool charges CZK 50 per 1 square meter. How much does the owner pay for cleaning the pool? - Dimensions 6263
The closed petrol tank is a cuboid with dimensions of 80cm, 30cm, and 20cm. The petrol level reaches 6cm below the upper edge of the tank. Determine the amount of gasoline in the tank in liters for all possible, stable positions of the tank. - Dimensions 4552
The aquarium with bottom dimensions of 75 cm and 45 cm has a volume of 135 l. What is the area of areas that are wetted with water if the surface reaches halfway around the aquarium? - Unknown metal
The prism made of unknown metal has dimensions of 3 cm by 3 cm by 5 cm and a weight of 121 g. What metal is it? Write its chemical symbol.
- 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? - Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm². - Stones in aquarium In an aquarium with a length of 2 m, a width of 1.5 m, and a depth of 2.5 m is a water level up to three-quarters of the depth. Can we place stones with a volume of 2 m³ into the aquarium without water being poured out?
- Millimeters 19473
In the garden of 860 square meters, 4 millimeters of water rained down. How many 10-liter pitchers would we pour this mystery on just as heavily? - Hectoliters 7174
Calculate how many hectoliters of water are in a fire tank with dimensions of 7 m and 6.5 m if it is 2 m deep and the water reaches 50 cm below the edge.
- Dimensions 82590
We are to fill an aquarium with a bottom dimension of 30 cm x 30 cm with water. How many liters of water will we need if we pour water to a height of 20 cm? - Dimensions 67554
The chest freezer has dimensions (w * h * d) 79.5 * 87.6 * 66.5 cm. Its useful volume is 210 liters. What percentage of the total freezer volume is the usable volume? - Dimensions 15133
The aquarium has the dimensions a = 250 cm, b = 50 cm, and c = 60 cm. Water is poured into the aquarium up to 45 cm. Do you calculate how many liters of water are in the aquarium? - Brick wall
What is the weight of a solid brick wall that is 30 cm wide, 4 m long, and 2 m high? The density of the brick is 1500 kg per cubic meter. - Dimensions 69774
Will a car with a load capacity of 3.5 t carry 50 oak planks and dimensions of 30 cm, 4 m, and 30 mm at a time?
- Pool
How many hectoliters of water is in a cuboid pool (a = 25m, b = 8m) if the area of the wetted walls is 279.2 m²? - The cuboid
The cuboid is full to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid? - Water tank
What is the height of the cuboid-shaped tank with the bottom dimensions of 80 cm and 50 cm if the 480 liters of water reach 10 cm below the top? - Milk package
Milk is sold in a box with dimensions of 9.5 cm, 16.5 cm, and 6.5 cm. Determine the maximum amount of milk that can fit into a box. Coating thickness is negligible. - Calculate 81553
The picture puzzle made of wooden cubes weighs 0.792 kg. One cube has an edge length of 4 cm and a weight of 33 grams. Find out how many cubes make up a puzzle and calculate the wood density in kg/m³.
Excavated soil increases the pile's volume by 1/3. Can a 6 m, 2.5 m, and 1.8 m truck body be used to transport excavated soil to a 5 m, 2 m, and 1.5 m block-shaped pool?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
