Question

#18. You are a package designer. You are asked to design a cubic box for tissue with one side measuring 6.5 inches. What is the volume of the box rounded to the nearest whole number?

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A
36 space i n c h e s cubed


B
72 space i n c h e s cubed


C
144 space i n c h e s cubed


D
275 space i n c h e s cubed


E
1296 space i n c h e s cubed

Answer 1

To find the volume of a cubic box, you can use the formula for the volume of a cube, which is given by:

\[
V = s^3
\]

where \( s \) is the length of one side of the cube.

In this case, the length of one side \( s \) is 6.5 inches.

Now, calculate the volume:

\[
V = (6.5)^3 = 6.5 \times 6.5 \times 6.5
\]

Calculating step by step:

First, calculate \( 6.5 \times 6.5 \):

\[
6.5 \times 6.5 = 42.25
\]

Now, multiply this result by 6.5:

\[
42.25 \times 6.5 = 274.625
\]

Now, round this to the nearest whole number:

\[
275
\]

So, the volume of the box is approximately 275 cubic inches.

The correct answer is:

**D 275 space i n c h e s cubed**