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Answer :
The toolbox's width, which is 12 inches and has the shape of a rectangular prism.
A rectangular prism's volume can be calculated using the following formula:
V = lwh
where l denotes the length, w the width, h the height, and V the volume.
We are aware of the dimensions of this issue: length is 14 inches, height is 7 inches, and volume is 1,176 cubic inches. With this knowledge, we can calculate the width:
V = lwh 1,176 = 14w (7)
1,176 = 98w \sw = 1,176/98 \sw = 12
As a result, the toolbox has a 12 inch width.
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Final answer:
To find the width of the toolbox, use the formula for the volume of a rectangular prism (Volume = length × width × height) and solve for width, resulting in a width of 12 inches.
Explanation:
To determine the width of a toolbox that is shaped like a rectangular prism, we can use the formula for calculating the volume of a rectangular prism, which is Volume = length × width × height. In this case, we are given the volume of the toolbox is 1,176 cubic inches, the length is 14 inches, and the height is 7 inches. Therefore, we can write the equation as 1,176 = 14 × width × 7. To find the width, we rearrange the formula to solve for width, which gives us width = Volume / (length × height).
By substituting the given values, our calculation becomes width = 1,176 / (14 × 7), which simplifies to width = 1,176 / 98. After performing the division, we find that the width is 12 inches.
