Practice problems of the prism - page 10 of 27
A prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases. Prisms are named for their bases, so a prism with a pentagonal base is called a pentagonal prism.Number of problems found: 521
- Quadrilateral 6542
Calculate the surface of a quadrilateral prism two dm high, the base of which is: a square with a side of 15cm. - Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle. - Trapezoidal base
Calculate the surface and volume of a quadrilateral prism with a trapezoidal base, where a = 7 cm, b = 4 cm, c = 5 cm, d = 4 cm, height of trapezium v = 3.7 cm and the height of the prism h = 5 cm. - Edge of prism
The regular quadrilateral prism has a surface of 250 dm². Its shell has an area of 200 dm². Calculate its leading edge.
- Perpendicular 6624
A = 3 cm b = 4 cm prism height h = 10cm Calculate the volume of a triangular prism with the base of a right triangle - the perpendicular a, b. - Triangular 2715
Determine the volume and surface of a triangular prism with a height of 12.4 cm; the base is a right triangle with 6 cm and 8 cm. - Triangular prism
Calculate the surface of a regular triangular prism with a bottom edge of 8.5 meters and an appropriate height of 60 meters, and the prism height is 1.4 meters. - Calculate
Calculate the surface of a regular eleven-sided prism; if the area of its base is 58 cm2, the edge of the base is 6cm long, and the height of the prism is 21 cm. - Surface area 6
Find the surface area of a prism whose bases are right triangles with sides of length 3, 4, and 5 inches and a height of 8 inches. Include a sketch
- Quadrilateral 71394
Sketch a grid of a quadrilateral prism with a rectangle of 1 cm x 3 cm and a height of 5 cm. - Trapezoidal prism
Calculate the volume of a prism with a trapezoidal base with side a = 6 dm, side c = 4 dm, and height of the prism = 8dm. The height of the trapezoid is va = 3dm. - A prism
A prism with an altitude of 15cm has a base in the form of a regular octagon inscribed in a square of 10cmx10cm. Find the volume of the prism. - The base
The base of the quadrilateral prism is a trapezoid with an area of 75 cm square. The prism is 6 cm high. Find the volume of the prism. - Triangular prism
Calculate the surface of a triangular prism 10 cm high, the base of which is a triangle with sides of 6 cm, 8 cm, and 8 cm
- Square prism
A square prism has a base with a length of 23 centimeters. What is the area in square centimeters of the base of the prism? - Brick wall
A garden 70 m long and 48 m wide should surround by a wall 2.1 meters high and 30 cm thick. The bricklayer will build a wall on the garden ground. How many will we need if 300 bricks are required for approximately one m³? - TV transmitter
The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have - Measuring 36483
Dominik teaches his kitten to go to the cat toilet for litter. He needs to fill the toilet halfway, but he needs to know how many bales of litter to buy. Please advise him if you know that the toilet has a bottom measuring 0.43 m and 3.5 dm and is 11 cm d - Freezer
The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, and 30 cm. A layer of ice 23 mm thick was formed on the freezer's inner walls (and on the opening). How many liters of water will drain if we dispose of the freezer?
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