# Prism bases

Volume perpendicular quadrilateral prism is 360 cm

^{3}. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism.## Correct answer:

Tips for related online calculators

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

**algebra**- expression of a variable from the formula
**arithmetic**- cube root
- third power
**solid geometry**- prism
**basic functions**- ratio
- direct proportionality

### Units of physical quantities:

### Grade of the word problem:

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

## Related math problems and questions:

- Base of prism

The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm². - Decagon prism

A regular decagon of side a = 2 cm is the base of the perpendicular prism. The side walls are squares. Find the prism volume in cm³, round to two decimal places. - Quadrilateral 5814

Calculate the surface area and volume of a regular quadrilateral truncated pyramid if the base edges are 87 cm and 64 cm and the wall height is 49 cm. - Quadrilateral 23881

Calculate the height of a regular quadrilateral prism whose base is a rhombus. The edge in the base is 7 cm long, the opposite edges are 5 cm apart, and we also know that the entire body has a volume of 1dm³.

- Quadrilateral prism

The height of a regular quadrilateral prism is v = 10 cm, and the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the prism's volume. - Perpendicular 5424

A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? - Perpendicular 3482

The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle.