Answered

Liam buys three identical plastic
containers that are right rectangular
prisms. one face of each container
measures 4 and 1/2 in. by 2 in. the total
volume of the three containers is
135 in.. how many of these containers
can liam set on a shelf that is 24 in. long
with the 4and 1/2in-by-2 in. faces touching?

Answer :

AKPOSEVICTORGO

The number of rectangular prism container that would be set on the shelf is: 4.

What is the Volume of a Rectangular Prism?

Volume of rectangular prism = length × width ×height

Given the following:

  • Volume of three containers = 135 in.³
  • Volume of each rectangular prism container = 135/3 = 45 in.³
  • One face = width × height = 4.5 × 2 = 9 in.

Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³

45 = length × 9

length = 5 in.

Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.

The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.

Learn more about rectangular prism on:

https://brainly.com/question/1015291

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