Question

Suppose you have the same box with a volume of 400
�
�
.
3
in.
​3
​​ and a height of 5 in. You now also know that the box is 8 in. wide. What is the length of the box?
A
5 in.

B
5
�
�
.
2
in.
​2
​​

C
10 in.

D
10
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�
.
2
in.
​2
​​

Answer 1

You want to wrap a gift box that is 3 in. long, 5 in. wide and 10 in. high. How much gift wrap will you need to cover the entire box?
A
150
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�
.
3
in.
​3
​​

B
150
�
�
.
2
in.
​2
​​

C
190
�
�
.
2
in.
​2
​​

D
190
�
�
.
3
in.
​3
​​

Answer 2

The formula to find the volume of a box is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

Given:
V = 400 in^3
h = 5 in
w = 8 in

Substitute the given values into the formula:
400 = l(8)(5)

Solve for l:
l = 400 / (8*5)
l = 400 / 40
l = 10

The length of the box is 10 in. Therefore, the answer is C) 10 in.