Surface area of Cube Problems - page 5 of 11
Number of problems found: 213
- Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube
- Grandmother 6375
The Drábekovs inherited a cube-shaped house from their grandmother, which occupied 121 m² of land. They want to insulate the perimeter walls. How many euros will he pay for the material if 1 m² of material costs 11 euros and 15% of the facade area consist
- Rotary cone
The volume of the rotation of the cone is 733 cm³. The angle between the side of the cone and the base angle is 75°. Calculate the lateral surface area of this cone.
- Everything 3536
The cabinet for storing garden tools is shaped like a cube with an edge length of 2 m. How many m² of paint will we need to paint this cabinet if we paint everything except the bottom base? How much will it cost to paint a cabinet if one can of paint for
- Quadrilateral 58663
They melted the steel part in the shape of a truncated quadrilateral needle and produced three identical cubes. Determine the surface area of one cube if the edges of the bases of the pyramid are 30 mm and 80 mm and the pyramid's height is 60 mm. I don't
- Allowances 82413
The teacher decided to sew covers for the eight-seat blocks in the school library. All cubes are cube-shaped with an edge 40 cm long. How many m² of fabric will the teacher need in total if the blocks are not lined from the bottom, and 5% must be added fo
- Cube from sphere
What largest surface area (in cm²) can have a cube that we cut out of a sphere with a radius 26 cm?
- Cube-shaped 32441
We painted a closed cube-shaped oil tank with an edge length of 1.5 meters twice with a protective coating. How many kilograms of paint did we use if 1 kg of paint is enough for 10 square meters? How many liters of oil are in the tank if it is filled to t
- Decimetres 4163
Determine the length of the body and wall diagonals of the cube, the volume of which is equal to 0.343 decimetres. Also, calculate its surface.
- Regular square prism
The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1:3. Calculate the surface of the prism.
- 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.
- Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 178 cm³ volume. Calculate the surface area of the cylinder.
- Calculate 8039
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.
- 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.
- Cube-shaped 71414
Mother and daughter Susan are wrapping presents for father. Maťko has a cube-shaped box with dimensions of 9 cm, 3 cm, and 7 cm, and Zuzka has a box in the shape of a cube with an edge length of 3 cm. How many square cm of wrapping paper will they use in
- Calculate 26433
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.
- Metal sheet
The box has the shape of a cube with an edge length of 50 cm. How much m² of sheet metal is needed to beat a box if we add 20% on the folds of the lid and walls?
- Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double that of one of the square bases. What is the length of the body diagonal?
- Larger sphere
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.
- Cube wall
Calculate the cube's diagonal if you know that one wall's surface equals 36 centimeters square. Please also calculate its volume.
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