Question

A right rectangular prism is packed with cubes of side length fraction 1 over 5 inch. If the prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height, what is the volume of the prism? (1 point) Group of answer choices A. Fraction 2 and 3 over 10 cubic inches B. Fraction 3 and 3 over 5 cubic inches C. Fraction 7 and 1 over 5 cubic inches D. Fraction 7 and 1 over 10 cubic inches

Answer 1

Given:

A right rectangular prism is packed with cubes of side length
`(1)/(5)` inch.

Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.

To find:

The volume of the prism

Solution:

Side length of each cube
`=(1)/(5)` inch.

15 cubes along the length, so length of prism is

`l=15* (1)/(5)=3\text{ inches}`

6 cubes along the width, so width of prism is

`b=6* (1)/(5)=(6)/(5)\text{ inches}`

5 cubes along the height, so height of prism is

`h=5* (1)/(5)=1\text{ inch}`

Now,

Volume of rectangular prism is

`V=l* b* h`

`V=3* (6)/(5)* 1`

`V=(18)/(5)`

`V=(3* 5+3)/(5)`

`V=3(3)/(5)\text{ cubic inches}`

Therefore, the correct option is B.