Cuboid practice problems - page 32 of 38
Number of problems found: 758
- Calculate 2548
Calculate the volume of a wooden box in the shape of a prism with the base of a rectangle if the box's width is 8 dm, the length is 14 dm, and the size of the body diagonal is 25 dm. - Cube-shaped crates
A shipment of 2560 cubic dm of dried Secret arrived in eight identical cube-shaped crates. What is the height of one crate if it has a square base with an edge length of 8 dm and each crate is filled to the brim? - Distance of lines
Find the distance of lines AE and CG in cuboid ABCDEFGH if given | AB | = 3cm, | AD | = 2 cm, | AE | = 4cm - 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. - A box
A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R? - Quadrilateral prism
The body diagonal of a regular quadrilateral prism forms an angle of 60° with the base. The edge of the base is 20 cm long. Calculate the volume of the body. - Cellar
The cellar for storing fruit has a rectangular base with sides of 14 m and 7 meters. You should paint sidewall to 2 m. How many square meters of surface must be painted? - Cardboard box
The computer monitor's cardboard box has 75 cm, 12 cm, and 5 dm. How many square cents of the carton are needed to make this box? Add 18 dm² to the folds. - 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. - A butter
A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm and b = 15 cm. Calculate how many cm² the package is larger than the cube's surface. - Cuboid's diagonal
The cuboid has a body diagonal u=25 cm, and side b is one-third longer than side a. What is the volume of the cuboid? - 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. - 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? - Concrete pillar
How many cubic meters of concrete are needed to construct the pillar shape of a regular tetrahedral prism when a = 60 cm and the height of the pillar is 2 meters? - 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°. - Dimensions 7912
How many blocks have integer dimensions of the edges if the surface is 48 m²? - Distance 6466
The water tank is cuboid with a square base (the edge of the base is 3.2 m long) and 3 m high. It holds 25,600 liters of water. What is the distance of the water level from the upper base? - 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? - Cleaning the pool
The swimming pool is 25 m long, 12 m wide, and 2 m deep. The walls and bottom of the pool require regular cleaning. The company that cleans the pool charges CZK 50 per 1 square meter. How much does the owner pay for cleaning the pool? - 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?
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