Prism - practice for 13 year olds - page 2 of 11
Number of problems found: 218
- Four sided prism
Calculate the volume and surface area of a regular quadrangular prism whose height is 28.6cm, and the diagonal body forms a 50-degree angle with the base plane. - Glass
How many glasses are needed to produce glass with a base of a regular 5-gon if one base triangle in the base is 4.2 square cm and the height is 10 cm? - Pool
Mr. Peter builds a pool shape of a four-sided prism with a rhombus base in the garden. The base edge length is 8 m, and the distance between the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water consume Mr. Pe - Quadrilateral 24161
Calculate the volume of a quadrilateral prism whose base is an isosceles trapezoid with bases 10 cm and 4 cm, 6 cm apart. The height of the prism is 25 cm. How could the surface area be calculated?
- Wooden prism
Find the weight of a regular wooden triangular prism with a height equal to the base's perimeter and a figure inscribed in a circle with a radius of 6.M cm, where M is the month of your birth. The density of oak is 680 kg/m³. - Excavation 8581
When building a new road, excavating a 280m long road in the ground was necessary. The bottom width, where the road runs, was 20m wide. At the top, the entire excavation was 30m wide. The depth of the excavation is 6 m. How much m³ of soil had to be remov - Whitewashed 3483
The pool is in the shape of a vertical prism with a bottom in the shape of an isosceles trapezoid with dimensions of the bases of the trapezoid 10m and 18m, and arms 7m are 2m deep. During spring cleaning, the bottom and walls of the pool must be whitewas - Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 12 cm and u2 = 15 cm. Prism height is twice the base edge length. - Dimensions 6578
How many m² of fabric is needed to make a tent of a regular 3-sided prism if it is necessary to count on a 2% reserve of fabric? Dimensions - 2m 1.6m and height 1.4m
- Quadrilateral prism
The height of a regular quadrilateral prism is v = 10 cm, and the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the prism's volume. - Trapezoidal prism
Calculate the surface of the quadrilateral prism ABCDA'B'C'D' with the trapezoidal base ABCD. The height of the prism is 12 cm; ABCD trapezoidal data: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diagonal length is 7 cm. L - Tent
Calculate how many liters of air will fit in the tent with a shield in the shape of an isosceles right triangle with legs r = 3 m long, the height = 1.5 m, and a side length d = 5 m. - Abundantly 83354
If 10 mm of water fell on a trapezoid-shaped garden with bases of 30 m and 20 m and a height of 20 m, how many buckets of water would we need to water the garden equally abundantly if the bucket had a volume of 15 l? - Office
The office building was built in the shape of a regular hexagon inscribed in a circle with a radius of 12 m. The height of the walls is 7m. How much does CZK cost plastering the walls of the building if per 1 m square costs CZK 400?
- Cross-section 33541
How many m³ of soil must be moved when digging a straight trench 170 m long, the cross-section of which is an isosceles trapezoid with bases of 150 cm and 80 cm, and arms are 90 cm long? - Cross-section 8171
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm? - Octagonal prism vase
We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase? - Cross-section 79984
A ditch with a cross-section in the shape of an isosceles trapezoid with bases of 3 m and 5 m and arms of length 2 m is 2.5 meters deep and 10 meters long. How many cubic meters of soil did they have to excavate when digging it? - Cross-section 5048
A path will lead to an embankment across the floodplain. The embankment will be 2 km long and have the shape of an isosceles trapezoid in cross-section with base lengths of 12 m and 8 m and a height of 2 m. Calculate the volume of material needed to build
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