Examples of area of plane shapes - page 91 of 118
Number of problems found: 2347
- 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
- "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"?
- Kilograms 7828
The gas tank is a sphere with a diameter of 17.8 m. How many cubic meters of gas can it hold? If 1 kg of paint is enough to paint about 6 square meters, how many kilograms of paint are needed to paint a gas tank?
- Centimeters 6989
The pool measures 4 m and 3 m, and 2.5 m. What height does the water in the pool reach if 25 m³ of water has been added? Round the result to centimeters.
- Dimensions 6609
The computer monitor's cardboard box has 75 cm, 12 cm, and 5 dm. How many square cents of the carton are needed to make this box? Add 18dm² to the folds.
- Calculate 4784
The sketch shows a network of blocks with a surface size of 150 cm². Calculate its volume. (MONITOR 9 - 2005/30 question.)
- Decimeters 2551
The cardboard packaging without a lid has the shape of a regular hexagonal prism with a main edge that is 12 cm long and 15 cm high. How much cardboard is used to make five packages if 10% of the cardboard is added for folds? Give results in square decime
- Cylindrical tank
The cylinder-shaped tank with a diameter of 100 cm is 50% full and contains 7850 l of water. What is the height of the tank?
- Pipe thickness
The outer circumference of the tube is 32cm. Its length is 60cm, its density is 8.5g/cm3, and its weight is 9.495kg. Calculate the wall thickness of the pipe.
- The height of prism
A right triangle forms the base of the vertical prism with perpendiculars 30 cm and 40 cm long. This prism has the same volume as a cube with an edge length of 3 dm. Find its height in cm.
- 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.
- Octagonal prism vase
We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase?
- Cuboid - box
The box has the shape of a cuboid with dimensions of 5 cm and 30 mm. Calculate the box's height if the cuboid's volume is 0.60 dm³. Calculate the surface area of the box. (calculation of height from the volume, calculation of area from the formula, keep
- Church roof
The roof of the church tower has the shape of a regular tetrahedral pyramid with a base edge length of 5.4 meters and a height of 5 m. It was found that the 27% covering of the roof area needs to be corrected. What amount of material will be required?
- Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin.
- Balls
Three metal balls with volumes V1=12 cm3, V2=112 cm3, and V3=59 cm³ were melted into one ball. Determine its surface area.
- 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'.
- Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much?
- The cap
A rotating cone shapes a jester hat. Calculate how much paper is needed for the cap 53 cm high when the head circumference is 45 cm.
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