Prism practice problems - page 23 of 28
Number of problems found: 550
- The wall
The wall in the bathroom has dimensions of 2.8 m and 2.6 m. Suppose we would like to cover this wall to a height of 1.6 m. How many square meters of tiles do we need to buy?
- Dimensions 13671
How high does a prism with the dimensions of the base 1.7 dm and 5 dm reach if it fits 1032 dm³?
- Square-shaped 4821
The vertical prism lies on a square-shaped base with a side 3 cm long. The diagonal of the sidewall of the prism is u = 5cm. Calculate its volume.
- Quadrilateral 24541
There are 50 liters of water in a filled container in the shape of a regular quadrilateral prism. Determine the height of the water if the edge of the base a = 25 cm.
- Triangular prism
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.
- Distance of lines
Find the distance of lines AE and CG in cuboid ABCDEFGH if given | AB | = 3cm, | AD | = 2 cm, | AE | = 4cm
- A box
A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R?
- Cellar
The cellar for storing fruit has a rectangular base with sides of 14 m and 7 meters. You should paint sidewall to 2 m. How many square meters of surface must be painted?
- Dimensions 31681
The welded sheet metal tub is shaped a prism with dimensions of 6x2x2 m. How many m³ of water can fit in it, and what is its surface?
- Rainfall
On Thursday, 1 cm of rainfall fell. How many liters of water fell into a rectangular garden with 22 m x 35 m dimensions?
- Cuboid's diagonal
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid?
- Annual rainfall
The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field?
- Concrete pillar
How many cubic meters of concrete are needed to construct the pillar shape of a regular tetrahedral prism when a = 60 cm and the height of the pillar is 2 meters?
- Dimensions 7912
How many blocks have integer dimensions of the edges if the surface is 48 m²?
- Measures 23791
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the body diagonal?
- 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.
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