Prism practice problems - page 5 of 28
Number of problems found: 550
- Cross-section 4507
How much soil needs to be removed when digging a 200 meter long ditch whose cross-section is an isosceles trapezoid with an area of 4812.5 cm²? - Prism
The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters? - Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12cm and a height of the prism equal to the diameter of the circle circumscribed by the base? - Pool
The prism-shaped pool is 2 m deep, with a bottom of the isosceles trapezoid, base dimensions of 10 m and 18 m, and arms legs 7 m long and 5.7 m long. During the spring cleaning, we must paint the bottom and walls of the pool. How many m² of paint should b - Prism The volume of a tetrahedral prism is 2.43 m³. The prism's base is a parallelogram with a side of 2,5dm and height ha = 18cm. Calculate the height of the prism.
- Right-angled 6034
A three-sided prism has a base in the shape of a right-angled triangle with a length of 5 cm. The giant wall of the prism shell has a volume of 104 cm². The prism is 8 cm high. Calculate the volume and surface area of the prism. - Tin sheet
How much sheet metal is needed for a triangular prism-shaped box with an edge of 20 cm and a height of 30 cm, the height of the base is 15 cm. An additional 10% of sheet metal is needed for gluing. - Isosceles ditch
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? - Perpendicular prism network
Find the volume and surface of a triangular prism with the base of a right triangle, the network of which is 4 cm 3 cm (perpendiculars) and nine centimeters (height of the prism). - Hexagonal prism
The prism's base is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism. - Hexagonal prism
The box of a regular hexagonal prism is 4 cm high, and the lid has sides 20 cm long. How much cardboard is needed to make it? (No part is double) - Calculate 31651
Calculate the surface of a regular 5-sided prism with a base area of 60 dm² if the length of the edge of the lower base is four dm. The height of the prism is 1.3 m. - Triangular prism
Calculate a triangular prism if it has a rectangular triangle base with a = 4cm and hypotenuse c = 50mm, and the height of the prism is 0.12 dm. - Hexagonal prism 2
The regular hexagonal prism has a surface of 140 cm² and a height of 5 cm. Calculate its volume. - Decagon prism
A regular decagon of side a = 2 cm is the base of the perpendicular prism. The side walls are squares. Find the prism volume in cm³, round to two decimal places. - Fifty-meter 80722
Calculate how many hectoliters of water can fit in a fifty-meter sloped pool; if the smallest depth is 1.2 m and the largest depth is 3 m, the width of the pool is 20 m. - Classroom 62353
The classroom is 11 m long. The width is 6.5 m, and the height is 4 m. We will pay CZK 7.50 for 1 m of square painting. How much will it cost to paint a classroom? They rounded to the crowns. - Diamond base
The prism with a diamond base has 24 cm and 20 cm long base diagonals. Calculate the height of a prism with a volume of 9.6 dm³ (cubic decimetres) - Calculate 4254
The prism's base is a diamond with a side length of 6 cm and a height of 4 cm. The height of the prism is 125% greater than the length of the side of the diamond. Calculate the surface area and volume of the prism. - The gable
The house's gable is an isosceles triangle with a base length of 14 meters and arms lengths of 8 meters. What is the tall gable of the house?
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