Surface Area Calculation Problems for Solid Shapes. - page 23 of 50
Number of problems found: 993
- Aquarium II
Calculate how much glass we need to build an aquarium with a rectangular shape with a base of 65 cm × 52 cm and a height of 74 cm if the waste is 2%. The aquarium doesn't have top glass.
- Calculate 74024
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base.
- School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm³
- Determine 46401
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³.
- 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
- Reservoir 43821
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?
- Cross-section of iron bar
What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g/cm³? What is the surface of the iron rod?
- Block-shaped 31741
We will paint the block-shaped pool, with the dimensions of the bottom a = 25 m and b = 15 m and the height c = 3.5 m. If one kg is enough for five square meters of paint, how many kg of paint will we need?
- Material 24841
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?
- Compressive 19933
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.
- 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?
- Calculate 4842
The area of the rotating cylinder shell is half the area of its surface. Calculate the surface of the cylinder if you know that the diagonal of the axial section is 5 cm.
- 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
- A plane vs. sphere
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere.
- 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.
- Cone side
Calculate the volume and area of the cone whose height is 10 cm, and the axial section of the cone has an angle of 30 degrees between height and the cone side.
- Conical area
A right-angled triangle has sides a=12 and b=19 at the right angle. The hypotenuse is c. If the triangle rotates on the c side as an axis, find the volume and surface area of the conical area created by this rotation.
- Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder diagonal is 20 cm. Find the exact surface area of the top of the cylinder.
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