Question

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

What is the volume of the container?

Enter your answer in the box.

Answer 1

`28\text{ ft}^3`

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* ((1)/(3)\text{ ft})^3`

`\text{Volume of 756 cubes}=756* (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

the volume of the container is
`28\ ft^(3)`

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)`