A rectangular shoebox is 14 inches long by 8 inches wide by 6 inches tall.
What is the volume of the shoebox?
F 28 cubic inches
H 480 cubic inches
G 668 cubic inche
J 672 cubic inches
The Correct Answer and Explanation is:
To find the volume of a rectangular box (or shoebox, in this case), we use the formula for the volume of a rectangular prism:
[
\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}
]
Step 1: Identify the dimensions of the shoebox
From the problem, we are given the following dimensions:
- Length = 14 inches
- Width = 8 inches
- Height = 6 inches
Step 2: Apply the formula
Substitute the given values into the volume formula:
[
\text{Volume} = 14 \times 8 \times 6
]
Step 3: Perform the multiplication
First, multiply 14 by 8:
[
14 \times 8 = 112
]
Next, multiply the result by 6:
[
112 \times 6 = 672
]
Step 4: Conclusion
The volume of the shoebox is 672 cubic inches.
Thus, the correct answer is J) 672 cubic inches.
Explanation:
The volume of a rectangular prism is determined by multiplying the three dimensions: length, width, and height. In this case, the shoebox has a length of 14 inches, a width of 8 inches, and a height of 6 inches. By following the order of operations, we first multiply the length and width (14 × 8), which gives 112. Then, we multiply that result by the height (112 × 6), which results in a volume of 672 cubic inches.
Understanding volume calculations is essential in fields like packaging, construction, and design, where space optimization is crucial. In this example, the shoebox’s volume tells us how much space it can hold, which is useful for determining how much material can be stored inside.