Prism practice problems - page 21 of 28
Number of problems found: 550
- Block-shaped tank
The block-shaped tank has dimensions of 320 cm, 50 cm, and 180 cm. 1. How much water can fit in it? 2. It was 45% filled. How much water was in it?
- Surface and volume od cuboid
The square base of the cuboid has an area of Sp = 36 cm2, and its height is 80 mm. Determine its surface area and volume.
- Quadrilateral prism
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base.
- Cuboid face diagonals
The lengths of the cuboid edges are in the ratio 1:2:3. Will the lengths of its diagonals be in the same ratio? The cuboid has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this cuboid.
- Deviation of the lines
Find the deviation of the lines AG BH in the ABCDEFGH box-cuboid if given | AB | = 3cm, | AD | = 2cm, | AE | = 4cm
- Calculate the pool
Calculate how many square meters are needed to line the pool 6 meters long, 4 meters wide, and 1.5 meters deep. Add 10% to waste.
- 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?
- Perpendicular 21433
Calculate the height of the vertical prism with the rectangle's base if the dimensions of the edges of the floor are a = 12 dm, b = 50 mm, and the prism's volume V = 0.6 l.
- Rectangular 4547
How many hours will a tank with a rectangular bottom with a capacity of 105.5 m² and a depth of 2 m be filled when 12 hl of water flows through the pipe in one hour?
- 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?
- 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.
- Calculate 2548
Calculate the volume of a wooden box in the shape of a prism with the base of a rectangle if the box's width is 8 dm, the length is 14 dm, and the size of the body diagonal is 25 dm.
- Distance of lines
Find the distance of lines AE and CG in cuboid ABCDEFGH if given | AB | = 3cm, | AD | = 2 cm, | AE | = 4cm
- Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid.
- 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?
- Quadrilateral prism
The body diagonal of a regular quadrilateral prism forms an angle of 60° with the base. The edge of the base is 20 cm long. Calculate the volume of the body.
- 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?
- Cardboard box
The computer monitor's cardboard box has 75 cm, 12 cm, and 5 dm. How many square cents of the carton are needed to make this box? Add 18 dm² to the folds.
- Dimensions 4700
The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box.
- 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?
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