Prism + comparing - 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 - 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? - 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? - 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
- 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) - Stones in aquarium
In an aquarium with a length of 2 m, 1.5 m wide, and 2.5 m deep, the water is up to three-quarters of the depth. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes) - 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? - 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.
- Stones in aquarium
In an aquarium with a length of 2 m, a width of 1.5 m, and a depth of 2.5 m is a water level up to three-quarters of the depth. Can we place stones with a volume of 2 m³ into the aquarium without water being poured out? - 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? - Block-shaped 5556
Excavated soil increases the volume of the pile by 1/3. Can a 6 m, 2.5 m, and 1.8 m truck body be used to transport excavated soil to a 5 m, 2 m, and 1.5 m block-shaped pool? - 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
- 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? - 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. - 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) - 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? - 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.
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