Question

Sara has a gift box with a volume of 64 in3. The length, width, and height of the box are all y inches. Sara needs to determine if a stack of 6-inch-by-6-inch note papers will fit on the bottom of the box. Complete the sentences below by choosing the correct responses from the drop-down menus. Sara can determine the value of y by finding of the volume. The value of y is inches. Therefore, the note papers fit on the bottom of the gift box.

Answer 1

No, the note papers will not fit the gift box.

Explanation:

Given that:

Volume of the gift box = 64
`in^3`

Length, width and height of the box all are equal to
`y` inches.

Dimensions of note papers = 6 inch by 6 inch

To determine:

Whether the note papers will fit the bottom of the box?

Solution:

Here, we need to find the dimensions of the gift box first.

If the dimensions of gift box are greater than or equal to the dimensions of the note papers, only then the papers will fit into the box.

As per the given question statement, the gift box is in the form of a cube.

Formula for volume of a cube is given as:

`Volume = (Side)^3`

Side is given equal to
`y` inches.

`64 = y^3\\\Rightarrow y = 4\ in`

Dimensions of the box are lesser than that of the note papers.

Therefore, the note papers will not fit into the gift box.