Cube triangle volume

In the cube ABCDEFGH, the area of triangle ABK is √20 cm². How much cm² is the volume of ABGH in a cube if you know that K is the midpoint of edge CG?

Your answer:

Help us improve! If you spot a mistake, please let let us know. Thank you!

Tips for related online calculators

See also our right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

arithmetic

square root

solid geometry

space diagonal
surface area

planimetry

right triangle
area of a shape
triangle
square
diagonal
rectangle

Units of physical quantities

area

Grade of the word problem

practice for 13 year olds
practice for 14 year olds

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

Pyramid
Cuboid ABCDEFGH has dimensions AB 3 cm, BC 4 cm, CG 5 cm. Calculate the volume and surface area of a triangular pyramid ADEC.
Distance of lines
Find the distance of lines AE and CG in cuboid ABCDEFGH if given | AB | = 3 cm, | AD | = 2 cm, | AE | = 4 cm
Cube pyramid volume
The cube ABCDEFGH has an edge of length 3 cm. Calculate the volume of the pyramid ABCDH.
Cube surface volume
The ABCDEFGH cube (sketch it) has an edge length of 5 cm. Calculate: a) ABFE wall area b) Area of the ADHE wall c) the surface of the cube d) Cube volume
Cube 1-2-3
Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) The perimeter of wall ABCD is 22 cm c) the sum of the lengths of all cube edges is 30 cm.
Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees.
Cube - wall
In the cube ABCDEFGH, |CF|=4 √ 2. What is the surface area of the cube?