Prism practice problems - page 20 of 27
A prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases. Prisms are named for their bases, so a prism with a pentagonal base is called a pentagonal prism.Number of problems found: 527
- Dimensions 4700
The toolbox has internal dimensions, a length of 1.5 meters, a width of 80 cm, and a height of 6 dm. Calculate the longest rod we can hide in this box. - Trench
The trench is a four-sided prism. The cross-section has a trapezoidal shape with basements of 4m and 6m, and the length of the trench is 30m. What is the depth of the trench if we dig 60,000 l of soil? - Dimensions 30651
How many tons of cement are needed to concrete two pillars 6.5 m high with a base in the shape of four squares joined into one cross of dimensions 1.2 m? 2.5 q of cement is needed for 1 cubic meter of concrete. - Cross-section 5558
How many m² of sheet metal is needed to cover 4 m high chimneys with a rectangular cross-section with 2.5 m and 1.2 m dimensions? Add 1/20 to the folds.
- Painting 3328
The painter will paint a room 7 m long, 4.5 m wide, and 3 m high. He charges CZK 27 per 1 m². How much do we pay painters to paint a room? - Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube - Perpendicular 79804
A perpendicular hexagonal prism was created by machining a cube with an edge length of 8 cm. The base of the prism is created from the square wall of the original cube by separating 4 identical right triangles with overhangs of lengths 3cm and 4cm. The he - Spruce wood
Calculate the weight of an edge made of spruce wood 6m long when the cross-section of the edge is 146cm square and if the density of the wood is 0.55 grams/cm cubic. - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid.
- Prism
Calculate the height of the prism having a surface area of 448.88 dm² wherein the base is square with a side of 6.2 dm. What will be its volume in hectoliters? - 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? - Lengths 63174
The block has a square base of 36 dm2, and its height is 1/3 of the length of the base edge. Find the sum of the lengths of all edges of a block. - 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? - Water level
How high is the water in the swimming pool with dimensions of 37m in length and 15m in width if an inlet valve is opened for 10 hours, flowing 12 liters of water per second?
- Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume. - Sand path
How much m³ of sand is needed to fill the 1.5m wide path around a rectangular flowerbed of 8m and 14m if the sand layer is 6cm high? - Diagonal
Determine the dimensions of the cuboid if it is diagonally long 60 dm and has an angle with one edge 35° and with another edge 77°. - Calculate 81939
The block surface is 5,632 m². The lengths of the edges are in the ratio 1: 2 : 3. Calculate the volume of the cuboid. - Quadrilateral 66294
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle)
Calculate the cuboid volume if the walls are 30cm², 35cm², 42cm²Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
