Volume of a Orthohedron: Using ratios for calculation

Given an cuboid whose length is equal to X

Its width is greater by 3 than its length.

The height of the cuboid is greater by 2 than its length

The volume of the cuboid is equal to 24X

Calculate the length of the cuboid

2 cm

Given the cuboid whose volume 54Y cm³

The length of the cuboid is equal to Y cm

Its width is greater by 2 than the length of the cuboid.

The height of the cuboid is greater by 3 than its length.

Calculate the length of the cuboid (Y)

3 cm

A cuboid has a height of 4 cm.

The ratio between its length and its width is 3:2.

The volume of the cuboid is equal to 96 cm³.

Calculate the length of the cuboid.

6 cm

Shown below is a large cuboid composed of 4 smaller orthohedra equal in size.

$AB=4$

$BC=\frac{3}{4}AB$

$BE=\frac{1}{2}AB$

Calculate the volume of the large cuboid.

96 cm³

Given an cuboid whose length is equal to 3 cm width 2 cm and height 4 cm

Calculate the ratio between the volume of the orthocahedron and the area of the triangle ABK

$6$

Given the cuboid whose length is equal to 3 cm

Width is equal to 2 cm

Height is equal to 4 cm

Calculate the ratio between the area of the right triangle and the volume of the cuboid.

$\frac{1}{6}$