Question

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

Answer 1

ANSWER

B. 8

EXPLANATION

Volume of wooden crate is

$\frac{1}{27} {ft}^{3}$

The cubic blocks have side length,

$l = \frac{1}{6} ft$

The volume of each cubic blocks is,

$v = {l}^{3}$

$= ( \frac{1}{6} )^{3} = \frac{1}{216}$

Number of blocks that can go into the crate is,

$= \frac{ \frac{1}{27} }{ \frac{1}{216} }$

$= \frac{1}{27} \times \frac{216}{1}$

$= 8 \: blocks$

Answer 2

Answer:

The correct answer option is B. 8.

Step-by-step explanation:

We know that a wooden crate in cubic shape has a volume of $\frac{1}{27} ft^3$ and we are to find how many cubic blocks of side length $\frac{1}{6} ft$ 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:

$(\frac{1}{6} )^3=\frac{1}{216}$

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

$\frac{\frac{1}{27} }{\frac{1}{216} }$

$\frac{1}{27} *\frac{216}{1} =$ 8 blocks