Solid geometry, stereometry - page 25 of 123
Number of problems found: 2441
- Spoon volume calculation
The spoon has the shape of half a spherical surface with a radius of 50 mm. What volume of fluid does it fit when filled to the brim? - Aquarium Stone Volume Fit
The zoo has an aquarium with a length of 2.5 m, a width of 1.5 m, and a depth of 2 m. The water reaches 3/4 of the height of the aquarium. Can we put a 2 m³ stone in the aquarium without the water spilling out of the aquarium? (1=Yes, 0=No) - Plasticine ball
Plasticine balls each have a radius of r1=77 cm, r2=98 mm, r3=9 cm, r4=81 cm, r5=5 cm, r6=74 mm, r7=49 mm, r8=43 mm, r9=26 mm, r10=2 cm. They are - Storing Cubes in Boxes
Eric cleans up after playing with a cube-shaped cube with an edge of 14 cm. He cleans them into three boxes. How many cubes can fit in: 1) cuboid with edges 4.2 dm, 5.6 dm, and 7 dm? 2) a cube with an edge of 560 mm? 3) cuboid with edges 0.98 m, 2.8 dm, a - Block Dimensions Volume Change
How does the volume of a 2.5dm, 15cm, and 0.5m block change if each dimension increases by 1.5cm? - Brick pillar
The brick pillar with a cross-section of 41x77 cm has a height of 3.25 m. Calculate: (a) the volume of the pillar b) the required number of bricks (if we need 400 pieces per 1 cubic meter) - The wall
We have to build a cuboid wall with dimensions based on 30 cm and 45 cm and a height of 3.25 meters. Calculate how many we need bricks if we spend 400 pieces of bricks to 1 m³ of the wall. - Strawberries - pulp
Marta and Alice bought their children strawberries. They ate most of them, each making pulp from the remaining strawberries. Marta filled her entire cube-shaped container with dimensions 5.2 cm, 1 dm, and 8.3 cm; Alice had a cube-shaped container with an - Tank solution fitting
Will 600 liters of solution fit in a cuboid-shaped tank with bottom dimensions of 2.5m and 1m and a height of 3dm? - Ball shot calculation
How many ball shots with diameters of 2 mm can be made of 1 kg of special metal alloy with a density of r = 7550 kg/m³? - AL wire
What is the weight of an aluminum wire 250 m long with a diameter of 2 mm, if the density of aluminum is p = 2700 kg/m cubic? Please round to the nearest gram. - Aquarium fish capacity
You need to count 3 liters of water for one fish in the aquarium. Jerry has an aquarium measuring 80 cm x 50 cm with a height of 45 cm. Determine the maximum number of fish Jerry can keep in this aquarium if the water level reaches 5 cm below the top edge - Water tank calculation
The water tank has the shape of a block. The inner length is 5.2 meters, the width is 2.4 meters, and the depth is 1.5 meters. If the tank is filled to 3/5 of its depth, how many liters of water does it contain? - Pool water calculation
How much water is in a cylinder-shaped pool with a radius of 2m, which is 1.5 m deep if it is filled 10 cm below the edge rounded to one decimal place - Glass volume calculation
Evelina wanted to pour 2 liters of lemonade into a cylinder-shaped glass with a bottom diameter of 5 cm and a height of 8 cm. What is the volume of the glass, and can 2 dl of lemonade fit in it? - Dana and sandbox
Dana helped her dad build a sandbox for her younger sister. The sandbox is a rectangular prism 4 1/2 feet long and 4 feet wide. Dana filled it with sand to a depth of 1/2 foot using bags of sand, each containing 1/2 cubic foot. How many bags did she need - Pit volume increase
The pit for ecological waste has the shape of a regular quadrilateral prism. The supporting edge is 5 meters long. The depth of the pit is 3.5 m. The company enlarged the pit by extending the base edges by 50 cm. By how much m³ has the amount of waste tha - The inflated
The inflated gymnastic ball should have a diameter of 65 cm. How many times do we have to pump air into a full-blown ball with a bicycle inflator to inflate it if the working volume of the inflator is a cylinder with an inner diameter of 2 cm and a height - Seat fabric calculation
How much fabric will be needed to cover a cylinder-shaped seat with a diameter of 0.8 m, 0.6 m high (rounded up to whole square meters) - 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
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