Diagonal - math word problems - page 24 of 28
Number of problems found: 544
- 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.
- Millimeter 30041
Calculate the length of the wall diagonal of a cube with a volume of 7.40 dm cubic. Express the result to the nearest millimeter.
- Rectangular 36111
Calculate if a rectangular image with dimensions of 33cm and 70cm fits in a suitcase with 65cm, 40cm, and 20cm. Make a sketch, and write it down as a word problem.
- Quadrilateral prism
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base.
- Height of the cuboid
Cuboid with a rectangular base, measuring 3 cm and 4 cm diagonal, has a body 13 centimeters long. What is the height of the cuboid?
- Cube - angles
Calculate the angle alpha (α) between the wall diagonal and cube base. Calculate the angle beta (β) between the cube body diagonal and the cube base.
- Block or cuboid
The wall diagonals of the block have sizes of √29cm, √34cm, and √13cm. Calculate the surface and volume of the block.
- Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters.
- Vector
Calculate the length of the vector v&; 8407; = (9.75, 6.75, -6.5, -3.75, 2).
- Suitcase - rod
The trunk of a car has the shape of a cuboid with sides 1.6m x 1.2m x 0.5m (width, depth, height). Determine the longest thin rod that can be placed on the bottom.
- Square-shaped 4821
The vertical prism lies on a square-shaped base with a side 3 cm long. The diagonal of the sidewall of the prism is u = 5cm. Calculate its volume.
- Centimeters 4091
Calculate the length of the body diagonal of a block whose two edges are 2 cm and 7 cm long and whose volume is equal to 49 cubic centimeters.
- Distance of lines
Find the distance of lines AE and CG in cuboid ABCDEFGH if given | AB | = 3cm, | AD | = 2 cm, | AE | = 4cm
- 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?
- Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long.
- Calculate 70634
The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters.
- Quadrilateral 32193
In a regular quadrilateral pyramid, the base edge a = 6cm, and the side edge b = 10cm. Calculate the height of the pyramid.
- Vertical prism
The base of the vertical prism is a rhombus with diagonals of 24 cm and 10 cm. Suppose the shell area is 52% of the total surface area of the prism. Calculate its surface.
- Circumference 4002
Calculate the diagonal of the cube, with the circumference of one of its walls being 48 cm. Then, determine its surface and volume.
- 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?
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