Prism practice problems - page 7 of 29
Number of problems found: 564
- Prism surface calculation
Calculate the surface of a prism with a square base whose mantle is a rectangle with sides of 18 cm and 8 cm. How many solutions does the task have? List all solutions. - Prism diagonal
The body diagonal of a regular square prism has an angle of 60 degrees with the base, and the edge length is 10 cm. What is the volume of the prism? - Quadrangular prism
The quadrilateral prism has a volume of 648 cm³. The trapezoid, which is its base, has the dimensions a = 10 cm, c = 5, and height v = 6 cm. What is the height of the prism? - Prism surface
The base of the vertical prism is a right triangle with a perpendicular 5 cm. The area of the largest wall is 130 cm2, and the body's height is 10 cm. Calculate the surface area of the body. - Triangular prism
The base of a right triangular prism is a right triangle with hypotenuse 14 cm and one leg 9 cm. The height of the prism equals 2/9 of the base's perimeter. Calculate the surface area of the prism. - Prism
Calculate the volume of the rhombic prism. The prism base is a rhombus whose one diagonal is 47 cm, and the edge of the base is 27 cm. The edge length and height of the base of the prism are 4:3. - Prism volume surface
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Pool water hectoliters
How many hectoliters of water are in a rectangular prism-shaped pool if the top is 6 m wide, the bottom is 4 m wide, the pool is 2 m deep, and the pool is 12 m long? - Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus with 12 cm and 18 cm diagonals and whose prism height is 10 cm. - Largest wall
Find the area of the largest wall of a prism with a rectangle base with a height of 4 dm, side c = 5 cm, and side b = 6 cm. - Triangular prism
Calculate the surface of a regular triangular prism; the base's edges are 6 cm long, and the height of the prism is 15 cm. - Prism height calculation
The 4-sided prism has a volume of 648 cubic cm. The trapezoid, its base, has the dimensions a-10 cm, c-8 cm, h-6 cm. Calculate the height of the prism - Triangular prism
Calculate the surface of a triangular prism with the base of an equilateral triangle with a side length of 7.5 cm and a corresponding height of 6.5 cm. Prism height is 15 cm. - Vertical prism
The base of the vertical prism is a rhombus with diagonals of 24 cm and 10 cm. Suppose the shell area is 52% of the total surface area of the prism. Calculate its surface. - Hexagon
Calculate the surface area of the regular hexagonal prism, whose base edge a = 12 cm and side edge b = 3 dm. - Prism 4 sides
The prism has a square base with a side length of 3 cm. The diagonal of the sidewall of the prism (BG) is 5 cm. Calculate the surface of this prism in cm square and the volume in liters. - Prism height
A four-sided prism has a volume of 648 cubic centimeters. The trapezoid that is its base has the dimensions a is equal to 10 centimeters, c is equal to eight centimeters, and height v is equal to 6 centimeters. Calculate the height of the prism. - The rod
The rod has the shape of a regular hexagonal prism with a volume of 32.4 cubic decimetres. What is the area of the base if it is 350 centimeters long? Round to ones. - A regular
A regular triangular prism with a base edge of 20 dm and a height of 30 dm is drawn. Find the volume of the prism and the area of the shell. - Triangular prism Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm (a = base edge length) ha = 4 dm. (ha = base triangle height length) v = 23 dm (v = body height)
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