Surface Area Calculation Problems for Solid Shapes. - page 27 of 52
Number of problems found: 1026
- Cone
Calculate the volume and surface area of the cone with a diameter of the base d=16 cm and the side of the cone with the base has angle 37°12'. - Calculation 83339
The edges of a cuboid are in the ratio 1:2:3. Calculate their length if you know that the surface of the entire cuboid is S=5632 m². Then, perform a test to ensure the calculation is correct. - Percentage 81914
The carpenter worked on a rotary cylinder with a base radius of 2.5 dm and a height of 2 dm. He reduced the radius by 1 cm by uniform grinding, and the height of the cylinder was preserved. Calculate the percentage by which the volume of the cylinder has - Original 63974
If we reduce the length of the cube edge by 30%, this cube has a reduced surface area of 1176 cm². Find the edge length and volume of the original cube. - Cone-shaped 44161
How many square meters of roofing is needed to cover the cone-shaped roof if the perimeter of its base is 15.7m and a height of 30dm - Magnified cube
If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm³. Determine the surface of both the original and the magnified cube. - Quadrilateral 19413
Calculate the surface area of a regular quadrilateral pyramid given: a= 3.2 cm h= 19 cm Method: 1) calculation of the height of the side wall 2) area of the base 3) shell areas 4) the surface of a regular quadrilateral pyramid - Surface 6995
When the surface of a cube is S = 150cm², what is the length of its edge a =? - Horizontal 6365
The tank's weight is 36 t, and the total contact area of the belts with the ground is 4 square meters. What pressure does the tank cause on a horizontal surface? - Needed 5373
The box is shaped like a cube with an edge 52 cm long. How many m² of sheet metal is needed to make a box with a lid? Add 5% to the folds of the lid and walls. - Circumference 4255
The rectangle has a circumference of 24 cm so that its area is maximum and its length is larger than its width. Find the dimensions of a rectangle. - Dimensions of glass
An aquarium has 64 * 50 * 45 cm dimensions and is filled 5 cm below the upper edge. How many liters of water are in an aquarium? How many square meters of glass are needed to produce an aquarium? - Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm. - Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm. - Triangular 28061
Calculate the surface area of a triangular prism with a height of 7 dm. Measures the edges of the triangular base 45 cm, 5 dm, 550 mm. - Quadrilateral pyramid
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid. - The perimeter
The perimeter of the base of a regular quadrilateral pyramid is the same as its height. The pyramid has a volume of 288 dm³. Calculate its surface area round the result to the whole dm². - Martians
A sphere-shaped spaceship with a diameter of 6 m landed in the meadow. To avoid attracting attention, the Martians covered it with a roof in the shape of a regular cone. How high will this roof be so that the consumption of roofing is minimal? - Truncated pyramid
Find the volume and surface area of a regular quadrilateral truncated pyramid if base lengths a1 = 17 cm, a2 = 5 cm, and height v = 8 cm. - Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m.
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