Division + surface area - practice problems
Number of problems found: 22
- Diameter 81711
We want to stick labels on the glasses. The labels stick right around the glass. The diameter of the cup is 6 cm. The height of the label is 10 cm. a) How many labels will we make from 30 x 40 cm paper? b) How many papers of this size will we use to make - The conical roof
The conical roof above the warehouse has a diameter of the lower part (base) d = 11.2 m and a height v = 3.3 m. How many rectangular steel plates with dimensions of 1.4 m and 0.9 m were needed to produce this roof if the seams and waste required an increa - The roof
The house's roof has the shape of a regular quadrilateral pyramid 5 m high and the edge of the base 7 m. How many tiles with an area of 540 cm² are needed? - Diameter 43971
The lawn at the family house has an area of 3a. The family owns a 1.5 m wide garden roller, the diameter of which is 1 m. How many times does the roller turn when rolling the whole lawn?
- Cloth / textile
We have a cloth measuring 16 square meters. How many 20 cm by 20 cm by 8 cm bags can you make? Assume the bag is a cuboid without one top base. - Roll of wallpaper
An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1/3 yards of paper for one box and 5/6 yards of paper for the other box. He must cut the paper into pieces that are 1/6 yard long. How many pieces will the student - Reservoir 17043
The reservoir has the shape of a sphere with a diameter of 12 m. How many kg of paint is needed to paint a reservoir if it is painted twice and one kilogram is enough to paint about 8m²? - Dimensions 16813
Calculate how many bricks we will need to build a room that should be 1.8 m wide, 2 m long, and 2.4 m high. The dimensions of the brick are 25 cm x 60 cm. - Two bodies
The rectangle with dimensions 8 cm and 4 cm is rotated 360º first around the longer side to form the first body. Then, we similarly rotate the rectangle around the shorter side b to form a second body. Find the ratio of surfaces of the first and second bo
- Determine: 10182
The lengths of the edges of two cubes are in the ratio 1:2, determine: a) the ratio of the content of the wall of the smaller cube to the content of the wall of the larger cube. b) the ratio of the surface of the smaller cube to the surface of the larger - Determine 7488
The lengths of the edges of the two cubes are in the ratio 2:3. Determine how many times the surface of the larger cube is larger than the surface of the smaller cube. - Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere. - Increases 6105
How many times does the volume of a cube increase if its surface increases four times? - Approximately 5553
The Earth's surface is approximately 510,000,000 km². The forest area is about 38,000,000 km². Write a fraction in the basic form. What part of the Earth's surface is formed by the forest?
- Kilograms 4994
The janitor is to paint the computer room walls, which are 7 m long, 5 m wide and 3 m high. The classroom has four square windows with a length of 1 m and a door 1 m wide and 2 m high. At least how many kilograms of paint should he buy if 1 kg of paint pa - Cubes
Carol with cut bar 12 cm x 12 cm x 135 cm to the cubes. Find the sum of all the surfaces of the resulting cubes. - Spheres in sphere
How many spheres with a radius of 15 cm can fit into the larger sphere with a radius of 150 cm? - Dimensions 3408
The room has dimensions of 4m, 5m, and 2.4m. Suppose one can is enough to paint 10 m². How many cans of paint are needed to paint the walls and ceiling of this room? - Increase 3302
The cube has an edge of 70 dm long. How many times does the volume and surface of the cube increase if we enlarge its edge four times?
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