Question

The prism below is made of cubes which measure 1/3 of an inch on one side. What is the volume

Answer 1

D

Explanation:

the volume (V) of the prism is calculated as

V = lbh ( l is the length, b the breadth and h the height )

here l = 3, b = 2, h = 2 ← number of cubes

each cube has side of
`(1)/(3)` , then

V = (3 ×
`(1)/(3)` ) × (2 ×
`(1)/(3)` ) × (2 ×
`(1)/(3)` )

= 1 ×
`(2)/(3)` ×
`(2)/(3)`

=
`(2)/(3)` ×
`(2)/(3)`

=
`(2(2))/(3(3))`

=
`(4)/(9)` in³