Question

A wooden crate in the shape of a cube has a volume of 1

27 cubic foot.
How many cubic blocks of side length 1

6 foot are required to find the
volume of the crate?
A.
4
B.
8
C.
12
D.
16
E.
20

Answer 1

The correct answer option is B. 8.

Explanation:

We know that a wooden crate in cubic shape has a volume of
`(1)/(27) ft^3` and we are to find how many cubic blocks of side length
`(1)/(6) ft` are required to find the volume of the crate.

We know the formula of volume for each cubic block:
`v=l^3`

Substituting the given values in the formula to get:

`((1)/(6) )^3=(1)/(216)`

So the number of blocks that can cover the crate will be:

`((1)/(27) )/((1)/(216) )`

`(1)/(27) *(216)/(1) =` 8 blocks

Answer 2

B. 8

EXPLANATION

Volume of wooden crate is

`(1)/(27) {ft}^(3)`

The cubic blocks have side length,

`l = (1)/(6) ft`

The volume of each cubic blocks is,

`v = {l}^(3)`

`= ( (1)/(6) )^(3) = (1)/(216)`

Number of blocks that can go into the crate is,

`= ( (1)/(27) )/( (1)/(216) )`

`= (1)/(27) * (216)/(1)`

`= 8 \: blocks`