Comparing + prism - practice problems
Number of problems found: 23
- Storage shed
Frank designed a net for a storage shed that he is going to construct out of metal. The design consists of a square base and four square sides, plus four triangular parts that make up the roof. A square base of 6 feet and four square sides, plus 4 feet of - Perpendicular 82488
For the volumes of a perpendicular prism and a pyramid with the same base and height: A) the volumes are equal B) the volume of a pyramid is three times smaller than the volume of a prism C) the ratio of the volumes of the prism and the pyramid is 1:3 D) - Dimensions 69774
Will a car with a load capacity of 3.5 t carry 50 oak planks and dimensions of 30 cm, 4 m, and 30 mm at a time? - Chocolate 65824
Robert has 8.2 cm, 3.1 cm, and 0.8 cm chocolate. Norbert has 0.4 cm, 5 cm and 7.9 cm chocolate. Which one has more chocolate, and how much? - Largest possible cone
It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, and 7.2 cm. a) Calculate its volume. b) Calculate the waste. - Measuring 36483
Dominik teaches his kitten to go to the cat toilet for litter. He needs to fill the toilet halfway, but he needs to know how many bales of litter to buy. Please advise him if you know that the toilet has a bottom measuring 0.43 m and 3.5 dm and is 11 cm d - Unknown metal
The prism made of unknown metal has dimensions of 3 cm by 3 cm by 5 cm and a weight of 121 g. What metal is it? Write its chemical symbol. - Calculate 26051
The base of the prism has the shape of a square with a side of 10 cm. The height of the prism is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume. - Volumes 24771
The block and the cube have the same volumes = 216 cm³. The block has side lengths of b = 4 cm, c = 9 cm. Can they have the same side? - Three-sided 24171
Find the area of the largest wall of a three-sided prism, with a height of 4 dm and an edge length of 5 cm and 6 cm. - Measuring 16183
The load capacity of the truck is 10t. Will it carry 200 oak planks measuring 30 cm, 4 m, and 30 mm at a time if the weight of 1 dm³ of oak wood is 0.7 kg? - Quadrilateral 14211
We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed? - 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? - Pebble
The aquarium is filled with two-thirds water with internal dimensions of the bottom 40 cm × 35 cm and a height of 30 cm. Calculate how many millimeters the water level in the aquarium rises by dipping a pebble-shaped sphere with a diameter of 18 cm. - Contain 7986
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? - Cylindrical 7891
Is it possible to pour water from a full cube-shaped container measuring 8 cm, 10 cm, and 12 cm into a cylindrical container with a bottom diameter of 12 cm and a height of 8 cm? - Aquarium
Can 30 liters of water fit in a cuboid aquarium with dimensions a = 3dm b = 6dm c = 5dm? - Paper box
Calculate whether 11 dm² of paper is sufficient for gluing a box without a lid with bottom dimensions of 2 dm 15 cm and 12 cm high. Write result as: 0 = No, 1 = Yes - Playstation
Anton wants to cover the cover for the game on the Playstation with the original paper. The cover has the shape of a block measuring 13 cm × 17 cm × 15 cm. Anton bought 0.35 m² of silver paper. Will the paper be enough to cover the cover? (1 = Yes, 0 = No - Aquarium 7098
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)
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