Answer:
the volume of the container is [tex]28\ ft^{3}[/tex]
Step-by-step explanation:
we know that
To find the volume of the container calculate the volume of one wooden cube block and multiply by 756
The volume of one cube is equal to
[tex]V=(1/3)^{3}= (1/27)\ ft^{3}[/tex]
the volume of the container is equal to
[tex]V=(1/27)*756=28\ ft^{3}[/tex]
Answer:
[tex]28\text{ ft}^3[/tex]
Step-by-step explanation:
We have been given that a container shaped as a rectangular prism can hold 756 wooden cube blocks with edge lengths of 1/3 ft.
Since the volume is the measure of the amount of space inside of a solid figure. As container holds 756 cubes, so volume of 756 cubes will be equal to the volume of the container.
Since we know that volume of a cube with each side 'a' units is [tex]a^3\text{ cubic units}[/tex], so the volume of 756 cubes with each edge 1//3 ft will be:
[tex]\text{Volume of 756 cubes}=756\times (\frac{1}{3}\text{ ft})^3[/tex]
[tex]\text{Volume of 756 cubes}=756\times \frac{1}{27}\text{ ft}^3[/tex]
[tex]\text{Volume of 756 cubes}=28\text{ ft}^3[/tex]
Therefore, the volume of container will be 28 cubic feet.
