Length + prism - practice problems
Number of problems found: 84
- Determine 5
Determine the volume of an aquarium with these measurements: length = 78 cm ; width = 6 cm ; height = 43 cm using the formula V=lwh.
- Find the
Find the volume and surface of a prism with a height of 120 mm, the base of which is an right isosceles triangle with a leg length of 5 cm.
- The height of prism
The base of the perpendicular prism is formed by a right triangle with perpendiculars 30 cm and 40 cm long. This prism has the same volume as a cube with an edge length of 3 dm. Find its height in cm.
- A dumpster
A dumpster is shaped like a rectangular prism. It has a width of 8 feet, a height of 5 feet, and a volume of 880 cubic feet. What is the length of the dumpster?
- Base side
In a quadrilateral prism, are known surface area S = 12400 mm² base side m = 40mm and prism height = 120mm, what is the length of base side n =?
- The gable
The gable of the house has the shape of an isosceles triangle, which has a base length of 14 meters, and arms with a length of 8 meters. What is the tall gable of the house?
- Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of a prism is 24 cm.
- Empty aquarium
How much does an empty aquarium weigh with dimensions: length = 40 cm, width = 30 cm, height = 20 cm, if 1 dm² of glass weighs 300 g? Calculate its weight in kilograms.
- The square
The square oak board (with density ρ = 700 kg/m3) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board?
- Diagonals of a prism
The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal with the diagonal of the base.
- Isosceles + prism
Calculate the volume of the perpendicular prism if its height is 17.5 cm and the base is an isosceles triangle with a base length of 5.8 cm and an arm length of 3.7 cm
The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to
- Insulate house
The property owner wants to insulate his house. The house has these dimensions 12, and 12 m is 15 m high. The windows have 6 with dimensions 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need?
- Roof repair
To repair the roof, we need 15 pieces of boards 6 m long, 15 cm wide and 25 mm thick. How many euros will we pay for all boards if 1 m³ of boards costs 500 euros?
- Quadrilateral prism
The height of a regular quadrilateral prism is v = 10 cm, the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the volume of the prism.
- Water level
What is the area of the water level of the pool, if after filling 25 m³ of water level by 10 cm? a) 25 m² b) 250 m² c) 2500 dm² d) 25,000 cm2
- Quadrilateral oblique prism
What is the volume of a quadrilateral oblique prism with base edges of length a = 1m, b = 1.1m, c = 1.2m, d = 0.7m, if a side edge of length h = 3.9m has a deviation from the base of 20° 35' and the edges a, b form an angle of 50.5°.
- Wooden block
A cuboid-shaped wooden block has 6 cm length, 4 cm breadth, and 1 cm height. Two faces measuring 4 cm x 1 cm are colored in black. Two faces measuring 6 cm x 1 cm are colored in red. Two faces measuring 6 cm x 4 cm are colored in green. The block is divid
- Four prisms
Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t
- The trench
Calculate how many cubic meters of soil needs to be removed from the excavation in the shape of an isosceles trapezoid, the top width is 3 meters, the lower width is 1.8 m, the depth of the excavation is 1 m, and the length is 20 m.
Do you want to convert length units? Length - practice problems. Prism practice problems.