Surface Area Calculation Problems for Solid Shapes. - page 30 of 52
Number of problems found: 1026
- Block-shaped 13531
The sheet of wrapping paper measures 100cm and 70cm. Is it enough to wrap a gift in a block-shaped box with dimensions of 40 cm, 25 cm, and 20 cm? - Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube. - Tin sheet
How much sheet metal is needed for a triangular prism-shaped box with an edge of 20 cm and a height of 30 cm, the height of the base is 15 cm. An additional 10% of sheet metal is needed for gluing. - Spherical segment
Calculate the volume of the spherical segment and the surface area of the canopy if the radius of the sphere is r = 5 cm and the radius of the circular base of the segment ρ = 4 cm. - Cuboid edges
The lengths of the cuboid edges are in the ratio 2:3:4. Find their length if you know that the surface of the cuboid is 468 m². - A photograph
A photograph will stick to a white square letter with an x cm length. The photo is 3/4 x cm long and 20 cm wide than the width of the paper. The surface of the remaining paper surrounding the photograph is 990 cm². Find the size of the paper and the photo - Cleaning the pool
The swimming pool is 25 m long, 12 m wide, and 2 m deep. The walls and bottom of the pool require regular cleaning. The company that cleans the pool charges CZK 50 per 1 square meter. How much does the owner pay for cleaning the pool? - Spherical cap
Place a part of the sphere on a 4.6 cm cylinder so that the surface of this section is 20 cm². Determine the radius r of the sphere from which we cut the spherical cap. - Perpendicular prism network
Find the volume and surface of a triangular prism with the base of a right triangle, the network of which is 4 cm 3 cm (perpendiculars) and nine centimeters (height of the prism). - Ratio-cuboid
The lengths of the edges of the cuboid are in the ratio 2:3:6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid. - 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. - Cuboid - volume and areas
The cuboid has a volume of 250 cm3, a surface of 250 cm2, and one side 5 cm long. How do I calculate the remaining sides? - Hexagonal prism
The prism's base is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism. - Concrete pedestal
The carpenters made wooden mold on a concrete pedestal in the shape of a cube with an edge 2 meters long. What is the area in which the concrete touches wooden molds? (No lid or bottom) - Rectangle pool
Find the dimensions of an open pool with a square bottom and a capacity of 32 m³ that can have painted/bricked walls with the least amount of material. - Hexagonal prism
The box of a regular hexagonal prism is 4 cm high, and the lid has sides 20 cm long. How much cardboard is needed to make it? (No part is double) - Cone container
The Rotary cone-shaped container has a volume of 1000 cubic cm and a height of 12 cm. Calculate how much metal we need to make this package. - Cube 5
The surface of the cube is 15.36 dm². How will this cube's surface area change if the edges' length is reduced by 2 cm? - Sphere slices
Calculate the volume and surface of a sphere if the radii of a parallel cut r1=32 cm, r2=47 cm, and its distance v=21 cm. - 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.
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