Area Conversion Word Problems - page 20 of 37
Number of problems found: 734
- Reserve map scale
The nature reserve covers an area of 40,000 square kilometers. If we draw it on a map on a scale of 1:1000000, we get a square. Find the side of the square on the map. - Steel tube
The steel tube has an inner diameter of 4 cm and an outer diameter of 4.8 cm. The density of the steel is 7800 kg/m³. Calculate its length if it weighs 15 kg. - Aquarium
The box-shaped aquarium is 40 cm high; the bottom has 70 cm and 50 cm dimensions. Simon wanted to create an exciting environment for the fish, so he fixed three pillars to the bottom. They all have the shape of a cuboid with a square base. The base edge o - Garden scale area
The garden has an area of 5000 m². What is its image area on a 1:1000 scale on the plan? - Cracked aquarium
Martin wanted to glue together an aquarium with his father's help. In the manual he read that it should have a volume of 45 litres. On the table he did not have much space. The bottom of the aquarium could have dimensions of only 25 cm and 40 cm. How tall - Square perimeter calculation
Calculate the perimeter of a square containing 9 acres. - Wooden Planks Cost Calculation
Mr. Novák buys 40 "planks" 5 m long, 15 cm wide, and 5 cm thick. The price for 1 m³ of "planks" is CZK 4,950 How much do they pay for "boards"? - Photo Bulletin Board Area
Miša called up photos from birthdays measuring 10 * 15 cm. Calculate the bulletin board area, which will cover 35 photos. The images overlap on a total area of 352 cm square. - Metal tube
Calculate the metal tube mass 8 dm long with an outer radius of 5 cm and an inner radius of 4.5 cm. One cm³ of this metal is 9.5 g. - Triangular prism
Calculate a triangular prism if it has a rectangular triangle base with a = 4 cm and hypotenuse c = 50 mm, and the height of the prism is 0.12 dm. - Castle model
The castle model has a cone-shaped roof. The cone side is 45 cm long, and the base radius is 27 cm. a) What is the roof volume? b) How much dm² of wallpaper is used to glue the roof, i.e., the cone shell? c) What is the roof's weight if it is made of wood - Prism 4 sides
The prism has a square base with a side length of 3 cm. The diagonal of the sidewall of the prism (BG) is 5 cm. Calculate the surface of this prism in cm square and the volume in liters. - Pyramid model
Peter brought back from his vacation in Egypt a model pyramid in the shape of a regular quadrilateral pyramid. He measured that its base edge has a length of 7 cm and the lateral edge has a length of 10 cm. The model has a mass of 1 kg and is made of an u - Cross-section - digging
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm? - Decorative fence
The rectangular garden is 57 m long and 42 m wide. Calculate how much m² it will reduce if it is enclosed with a 60 cm wide decorative fence. - Twenty percent
The students in the class agreed to make various decorative cone-shaped hats for the carnival. How much decorative material did a class of 25 students need to make the hats, if they had to allow for approximately twenty percent waste when cutting and glui - Body surfaces
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7 cm and 9 cm, the height of the base 4 cm, and the height of the prism 15 cm. Find the surfaces of both bodies. - Spruce wood
Calculate the weight of an edge made of spruce wood 6 m long when the cross-section of the edge is 146 cm square and if the density of the wood is 0.55 grams/cm cubic. - Cube QR Codes Area
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. - Pool capacity
The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there?
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