Surface Area Calculation Problems for Solid Shapes. - page 19 of 53
Number of problems found: 1047
- Painting a column
How many kg of paint are needed to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m and a base height of 2 m? The column is 10 m high and 1 kg of paint covers 25 m². - Lamp cone shell
The lamp shade should be formed by the shell of a cone with a base diameter of 48 cm and a side of 32 cm. Calculate how much material will be needed to make it, assuming 8% waste - Quadrilateral 4S prism
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. - Reservoir - water tank
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hectoliters (hl) of water can it hold? b) How many kg of paint is needed to paint the reservoir if it is painted three times and one kg of paint is enough to paint about 9 m²? - The pool
The pool is 25 meters long, 10 meters wide, and 1.5 meters deep. How many liters are needed to fill it completely? How much will the new floor and wall paneling cost if one m² costs 10 euros? - Hall painting time
The hall has dimensions of 60 m, 28 m, and a height of 3 m. How many hours will it take to paint it if it takes 3 minutes to paint 1 square meter? The walls and ceiling are painted, and the windows take up 1/3 of the total area that needs to be painted. - Cube paper calculation
Calculate how much cm² of paper needs to be bought to make a 60 mm cube if you need to add an extra 12% to the folds. - Ball screen
The diameter of the ball screen is 30 cm. If we add 5% of the material to be sewn, how many m² of fabric do we need to make? - Quadrilateral prism
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? - Submarine pressure calculation
The submarine is at a depth of 50 m below the concave surface of the sea. Find the hydrostatic compressive strength of seawater on a metal cover with an area of 0.6 m². - Base of prism
The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2 cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm². - Cube QR Codes Area
Peter built a cube in Ostrava, each wall with a unique QR code. The edge of the cube is 107 cm long. Calculate how large an area its author had to cover with white and black. - Pole painting calculation
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. - Painter
If one liter of paint covers an area of 5 m2, how much paint is needed to cover: a) rectangular swimming pool With dimensions of 4 m x 3 m x 2.5 m (the Inside walls and the floor only) b) the Inside walls and floor of a cylindrical reservoir wi - Prism and wall diagonal
The ABCDA'B'C'D' prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC' is 11.4 cm long. Calculate the surface area and volume of the prism. - 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; Trapezoid ABCD has the following dimensions: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diag - 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. - Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism. - Cabinet painting
The cabinet has the shape of a cuboid, the dimensions of which are 80 cm and 55 cm, and a height of 1.8 m. The cabinet is painted twice on the outside. How much paint is used to paint the cabinet if 1 kg is enough for 4 m²? (we do not paint the bottom of - Triangular pyramid
Calculate the volume and surface area of a regular triangular pyramid with a height equal to the base edge, which is 10 cm long.
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