Volume of Prism Problems - page 12 of 21
Number of problems found: 416
- How high
How high does a prism with base dimensions of 1.7 dm and 5 dm reach if 1032 dm cubic will fit? - Classic tent
The tent is shaped like a triangular prism. The front and rear walls are isosceles triangles with a height of 18 dm and arms 19.5 dm long. It is 1.5 m wide and 2 m long. How many square meters of fabric are needed to make a tent? How much air is in it? - 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"? - Iceberg
What is the surface area of a 50 cm iceberg (in the shape of a cuboid) that can carry a man with luggage with a total weight of 120 kg? - 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. - 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.
- 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? - Water tank
What is the height of the cuboid-shaped tank with the bottom dimensions of 80 cm and 50 cm if the 480 liters of water reach 10 cm below the top? - Prism 4 sides
Find the surface area and volume of a four-sided prism high 10 cm if its base is a rectangle measuring 8 cm and 1.2 dm. - 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. - 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? - The pool - optimization A block-shaped pool with a volume of 200 m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make
- Family 5 The Plavecký family built a pool which is 120 cm deep. a/The bottom of the pool has a thickness of 10 cm, the side walls 20 cm. The pool has the shape of a cuboid with a base of 3 m x 5 m. How many cubic metres did they use for its construction? b/Their s
- Prism diagonal
The body diagonal of a regular square prism has an angle of 60 degrees with the base, and the edge length is 10 cm. What is the volume of the prism? - Excavator Stone Weight
The excavator dug an excavation measuring 10mx20m and 30 cm deep. How many tons of stone does it need to load it? - Water container transfer
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? - Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane. - Hectoliters of water - Garden
Garden tank dimensions: length. ..4,6 meters, width. ..3,8 meters, depth. ..1.6 meters. How many hectoliters of water is in the tank when it is filled to 2/3?
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