Diagonal - math word problems - page 20 of 28
Number of problems found: 543
- Quadrilateral 5130
There is a regular quadrilateral pyramid with the base edge length a = 3 cm and with the length of the side edge h = 8 cm. Please calculate its surface area and volume.
- Cuboid diagonals
The cuboid has dimensions of 15, 20, and 40 cm. Calculate its volume and surface, the length of the body diagonal, and the lengths of all three wall diagonals.
- Block-shaped 39241
The boys wanted to store their hand-made totem 5.1 m high in the block-shaped shed, which measures 4 m, 3 m, and 2 m, for the winter. Will it fit in there at all?
- Calculate 32133
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals.
- Calculate 8354
In a regular pyramid in which the edge of the base is | AB | = 4cm; height = 6cm, calculate the angle of the lines AV and CV, V = vertex.
- Diagonal 8192
Find the volume and surface of a cube if you know the length of its body diagonal u = 216 cm.
- Axial cut of a rectangle
Calculate the volume and surface of the cylinder whose axial cut is a rectangle 15 cm wide with a diagonal of 25 cm long.
- 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.
- Trunk
Calculate the length of the biggest fishing rod that can be inserted into the trunk of a car with dimensions 152 x 82 × 81 cm.
- Calculate cuboid, diagonals
The volume of a cuboid with a square base is 64 cm3, and the body diagonal deviation from the base's plane is 45 degrees. Calculate its surface area.
- Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and whose body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls.
- Quadrilateral 8120
If the pyramid's height is 4 cm and the base area is 16 cm2, include the side edge length of a regular quadrilateral pyramid.
- Diamond base
The prism with a diamond base has 24 cm and 20 cm long base diagonals. Calculate the height of a prism with a volume of 9.6 dm³ (cubic decimetres)
- Dimensions - crate
A wooden crate with dimensions d=3m, e=4m, and f=3m was placed in a transport container with dimensions a=10 m, b=4m, and c=3m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in this si
- The pyramid 4s
The pyramid with a rectangular base measuring 6 dm and 8 dm has a side edge of a length of 13 dm. Calculate the surface area and volume of this pyramid.
- Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm.
- Calculate 6214
The cube A B C D A'B'C'D 'has a section area ACC'A' equal to 64 square root of 2 cm². Calculate the surface of the cube.
- Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone?
- Measures 2535
Peter wants to hide a 60 cm long whistle in a shoebox that measures 25 cm x 48 cm x 21 cm. Will he make it?
- Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus with 12cm and 18cm diagonals and whose prism height is 10 cm.
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