Question

A rectangle prism has a length of 4 cm and a width of 1 1/2 cm and a height of 2 1/2 cm.how many unit cubes with edge lengths of 1/2 cm will it take to fill the prism? what is the volume of the prism?the prism can be filled with _ unit cubes that have edge lengths of 1/2 cmThe volume of the prism is _ cm3

Answer 1

Volume of a Rectangular Prism

The dimensions of a rectangular prism are:

L = 4 cm

W = 1 1/2 cm

H = 2 1/2 cm

We'll convert the mixed fractions to improper fractions:

`W=1(1)/(2)=1+(1)/(2)=(3)/(2)`
`H=2(1)/(2)=2+(1)/(2)=(5)/(2)`

The volume of the prism is:

The unit cube has a length of 1/2 cm. The volume of each cube is

`V^(\prime)=((1)/(2))^3=(1)/(8)cm^3`

To find the number of unit cubes that fill the prism, we divide both volumes as follows:

`(15)/((1)/(8))=15\cdot8=120`

The prism can be filled with 120 unit cubes

The volume of the prism is 15 cm3