College

We appreciate your visit to A pyramid has a rectangular base of length 2x 1 cm and width xcm It also has a perpendicular height of 18cm The volume of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A pyramid has a rectangular base of length (2x + 1)cm and width xcm.

It also has a perpendicular height of 18cm.

The volume of the pyramid is 90 cm?.

Given that the volume of a pyramid is one third of the area of the base multiplied by the perpendicular height, find the dimensions of the base of the pyramid.

A pyramid has a rectangular base of length 2x 1 cm and width xcm It also has a perpendicular height of 18cm The volume of

Answer :

Since the pyramid has a rectangular base of length (2x + 1)cm and width xcm. The new dimension of the base of the pyramid is known as 15cm.

What is a pyramid?

A pyramid is a three-dimensional shape. It has a flat polygon base. All the other faces are triangles which are called lateral faces.

The number of lateral faces equals the number of sides on its base. The volume of pyramid is given as: 1/3 base area × height.

Hence:

90 = 1/3 (2x+1) (x)

1812x² +6x - 90=0

Using quadratic equation formula x=-b+/-✓(b^2-4ac)/2a

where a= 12,b= 6,c= -90x= -3 or -5

Therefore:

Width= -3 or 2.5 length

= -5 or 6 base

Area = length × width

= 15 cm.

Learn more about pyramids from

https://brainly.com/question/218706

#SPJ1

Thanks for taking the time to read A pyramid has a rectangular base of length 2x 1 cm and width xcm It also has a perpendicular height of 18cm The volume of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada