# Space diagonal + right triangle - math problems

#### Number of examples found: 52

• Body diagonal Find the cube surface if its body diagonal has a size of 6 cm.
• Body diagonal Calculate the length of the body diagonal of the 6cm cube.
• Find diagonal Find diagonal of cuboid with length=20m width=25m height=150m
• Center of the cube Center of the cube has distance 16 cm from each vertex. Calculate the volume V and surface area S of the cube.
• Vector Calculate length of the vector v⃗ = (9.75, 6.75, -6.5, -3.75, 2).
• Cube diagonal Determine the length of the cube diagonal with edge 37 mm.
• Height of the room Given the floor area of a room as 24 feet by 48 feet and space diagonal of a room as 56 feet. Can you find the height of the room?
• Cube in sphere The sphere is inscribed cube with edge 8 cm. Find the radius of the sphere.
• Wall and body diagonals Calculate the lengths of the wall and body diagonals of the cuboid with edge dimensions of 0.5 m, 1 m, and 2 m
• Cuboid - volume, diagonals The length of the one base edge of cuboid a is 3 cm. Body diagonal is ut=13 cm and diagonal of cuboid's baseis u1=5 cm. What is the volume of the cuboid?
• Cube cut The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '.
• Cuboidal room Length of cuboidal room is 2m breadth of cuboidal room is 3m and height is 6m find the length of the longest rod that can be fitted in the room
• Box Calculate the angle between box base 9 x 14 and body diagonal length 18.
• Wall and body diagonals The block/cuboid has dimensions a = 4cm, b = 3cm and c = 12cm. Calculates the length of the wall and body diagonals.
• Cube diagonals Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm.
• Space diagonal The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area and the volume of the cube.
• Cuboid easy The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid.
• Prism diagonal The body diagonal of a regular square prism has an angle of 60 degrees with the base, the edge length is 10 cm. What is the volume of the prism?
• Solid cuboid A solid cuboid has a volume of 40 cm3. The cuboid has a total surface area of 100 cm squared. One edge of the cuboid has length 2 cm. Find the length of a diagonal of the cuboid. Give your answer correct to 3 sig. Fig.
• Diagonal Determine the dimensions of the cuboid, if diagonal long 53 dm has angle with one edge 42° and with other edge 64°.

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