Area of a shape + prism - practice problems - page 4 of 11
Number of problems found: 212
- 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 - Triangular prism
The triangular prism has a base in the shape of a right triangle, the legs of which are 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²? - Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane. - Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cub - Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Centimeters 7526
The gardener used 18 poles with a base of 15.15 cm and a height of 150 centimeters to fence the plot. Calculate how much paint he will need to paint the columns twice. One kilogram of paint covers eight square meters. - Dimensions 6996
The carpenter needs to make 4 wooden legs for the table, which have the shape of a regular 4-sided prism with dimensions of 9 cm × 9 cm × 60 cm. He will paint them all over with white paint. How many m² of surface must be painted? - Playstation
Anton wants to cover the cover for the game on the Playstation with the original paper. The cover has the shape of a block measuring 13 cm × 17 cm × 15 cm. Anton bought 0.35 m² of silver paper. Will the paper be enough to cover the cover? (1 = Yes, 0 = No - 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 - Support colum
Calculate the support column's volume and surface, which is shaped as a vertical quadrangular prism whose base is a rhombus with diagonals u1 = 102 cm and u2 = 64 cm. Column height is 1. 5m. - Quadrilateral 82146
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base. - Block-shaped 8378
How much paint does Peter use to paint a block-shaped sheet metal garage (without the lower base) with dimensions of 8m, 5.5m, and a height of 2.5m, if 1kg of paint is enough for a 4m square area? - Contain 7986
The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there? - Block-shaped 5875
The block-shaped tank has dimensions of 320cm, 50cm, and 180 cm. 1. How much water can fit in it? 2. It was 45% filled. How much water was in it? - Right-angled 4951
Calculate the volume and surface area of the body that is created by cutting out a three-sided prism of the same height from a cuboid with dimensions of 10 cm, 15 cm, and 20 cm, whose base is a right-angled triangle with dimensions of 3 cm, 4 cm, and 5 - Tetrahedral prism
Calculate the area and volume of a tetrahedral prism that has a base rhomboid shape, and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm. - 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? - Perpendicular 21433
Calculate the height of the vertical prism with the rectangle's base if the dimensions of the edges of the floor are a = 12 dm, b = 50 mm, and the prism's volume V = 0.6 l. - Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 22 degrees, |AB| = 6 cm. Calculate the volume of the prism. - "boards" 8314
Mr. Novák buys 40 "planks" 5 m long, 15 cm wide, and 5 cm thick. The price for 1 m³ of "planks" is CZK 4,950 How much do they pay for "boards"?
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