Prism practice problems - page 17 of 28
Number of problems found: 550
- Dimensions 6631
In the toy factory, they produce dice in the shape of cubes with an edge of 3 cm from wooden prisms with dimensions of 3 cm, 3 cm, and 3 m. How many prisms do they need to make 1000 cubes? - Hollow block
A hollow block is a prism with dimensions a = b = 29 cm, v = 15 cm. The wall thickness is 4.5 cm. What percent of the volume of the block in masonry is its cavity? - Determine 5
Using the formula V=lwh, determine the volume of an aquarium with these measurements: length = 78 cm, width = 6 cm, and height = 43 cm. - Consider
Consider all square prisms with a height of 10 cm. If x is the measurement of the base edge in cm, and y is the prism's volume in cm³. Graph the function - Aquarium
Can 30 liters of water fit in a cuboid aquarium with dimensions a = 3dm b = 6dm c = 5dm? - Right rectangular prism
The right rectangular prism has a length of 3.2 feet, a width of 1.7 feet, and a height of 2.1 feet. What is its volume? 5.712 ft³ 7.54 ft³ 11.424 ft³ 31.46 ft³ - Cage
How many m² of mesh does a farmer use for fencing a cuboid cage with 25m, 18m, and 2.5m dimensions?
- Calculate 23031
The pool has sides of 5m and 2m, and the water level is 100 hl. Calculate the height of the water in the pool. - DEnsity of a cuboid
What is the density of a building board in the shape of a cuboid with dimensions 1 m, 20 cm, and 20 cm, if its mass is 84 kg? - Foundations 82009
The house has foundations of 12x8m. How many cubic meters of gravel do we need if we want to fill it to a depth of 10 cm? - Excavation 7913
The excavator dug an excavation measuring 10mx20m and 30 cm deep. How many tons of stone does it need to load it? - The room
The room has a cuboid shape with dimensions: length of 50m and width of 60 dm, and height of 300 cm. Calculate how much this room will cost (a floor is not painted) if the window and door area is 15% of the total area and 1m² costs 15 euros. - Prism-shaped 6137
The prism-shaped vessel with a rhomboid base has one base diagonal of 10 cm and the edge of the base 14 cm. The edge of the base and the prism height are in a ratio of 2:5. How many liters of water is in the container when it is filled to four-fifths of t - Painting a hut
It is necessary to paint the exterior walls of the hut, whose layout is a rectangle of 6.16 m x 8.78 m wall height is 2.85 meters. The cottage has five rectangular windows; three have dimensions of 1.15 m x 1.32 m and two 0,45 m x 0.96 m. How much m² is n - Aquarium
The box-shaped aquarium is 40 cm high; the bottom has 70 cm and 50 cm dimensions. Simon wanted to create an exciting environment for the fish, so he fixed three pillars to the bottom. They all have the shape of a cuboid with a square base. The base edge o
- Compressive 4894
At what depths does a hydrostatic compressive force of 3 kN act at a depth of 30 m in water? - Indoor aquarium World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism-shaped. Find the following: 1. If the aquarium's height is x, then find the area of the base (
- Insulate house
The property owner wants to insulate his house. The house has these dimensions of 12, and 12 m is 15 m high. The windows have six dimensions, 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need? - Faces diagonals
Find the cuboid volume if the cuboid's diagonals are x, y, and z (wall diagonals or three faces). Solve for x=1.6, y=1.8, z=1.6 - Paper box
Calculate the paper consumption on the box-shaped quadrangular prism with rhombic footstall, base edge a=6 cm, and the adjacent base edges form an angle alpha = 60 °. The box height is 10 cm. How much m² of the paper is consumed 100 such boxes?
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