Question

A container shaped as a rectangular prism can hold 756 wooden cube blocks with edge lengths of 13 ft.

Answer 1

Answer:

$28\text{ ft}^3$  

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 $a^3\text{ cubic units}$, so the volume of 756 cubes with each edge 1//3 ft will be:

$\text{Volume of 756 cubes}=756\times (\frac{1}{3}\text{ ft})^3$

$\text{Volume of 756 cubes}=756\times \frac{1}{27}\text{ ft}^3$

$\text{Volume of 756 cubes}=28\text{ ft}^3$

Therefore, the volume of container will be 28 cubic feet.

Answer 2

Answer:

the volume of the container is $28\ ft^{3}$

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

$V=(1/3)^{3}= (1/27)\ ft^{3}$

the volume of the container is equal to

$V=(1/27)*756=28\ ft^{3}$