Surface area - practice for 13 year olds - page 12 of 23
Number of problems found: 460
- Quadrilateral 83324
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. - Decimeters 83242
The axial section of the cylinder is a square with a content of 56.25 cm². Calculate its surface area and volume. Express the result in square decimeters and cubic decimeters and round to hundredths. - 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.
- Material 24841
The diameter of the ball screen is 30 cm. How many m² of fabric do we need to make if we add 5% of the material to be sewn? - Calculate 4784
The sketch shows a network of blocks with a surface size of 150 cm². Calculate its volume. (MONITOR 9 - 2005/30 question.) - 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. - 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. - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder.
- 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 - Calculate 81034
Calculate the volume of the spherical segment and the surface area of the canopy if the radius of the sphere is r=5cm and the radius of the circular base of the segment ρ=4cm. - Reservoir 43821
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many 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? - 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. - 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.
- 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. - Pool
The prism-shaped pool is 2 m deep with a bottom of the isosceles trapezoid with base dimensions of 10 m and 18 m and arm legs 7 m long and 5.7 m long. During the spring cleaning, we must paint the bottom and walls of the pool. How many m² of paint should - Pyramid
The pyramid has a base rectangle with a = 6cm, b = 8cm. The side edges are the same, and their length is 12.5 cm. Calculate the surface of the pyramid. - 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. - Dimensions 20553
The surface of the block is 558 cm², and its dimensions are in the ratio of 5:3:2. Calculate the volume.
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