shipping box is shaped like a rectangular prism. The dimensions of the box are in inches, as shown below.
Which expression describes the volume, in cubic inches, of the box?
Responses
2w3+9w+20
2 w cubed plus 9 w plus 20
2w3+18w2+40w
2 w cubed plus 18 w squared plus 40 w
2w2+18w+40
2 w squared plus 18 w plus 40
2w2+4w+5
The expression that describes the volume, in cubic inches, of the box is:
V = lwh
where l, w, and h are the length, width, and height of the rectangular prism, respectively.
From the given diagram, we can see that the length is 2w, the width is 3w, and the height is 4.
Substituting these values into the formula for the volume, we get:
V = (2w)(3w)(4)
V = 24w^2
Therefore, the correct expression for the volume of the box is:
2w2+18w+40.
To find the volume of a rectangular prism, you need to multiply its length, width, and height.
In this case, the dimensions of the box are not given, so let's assume the length is L, the width is W, and the height is H.
The expression that describes the volume of the box would be:
Volume = Length x Width x Height
Since the box is shaped like a rectangular prism, its volume can be expressed as:
Volume = LWH
However, in the given responses, there are expressions involving variables "w" instead of the actual dimensions of the box. Therefore, none of the given expressions are able to describe the volume of the box accurately.
To calculate the volume of a rectangular prism, we need to multiply the length, width, and height together.
Given that the dimensions of the box are described using the variable "w", the expression that describes the volume of the box is:
Volume = w * w * w = w^3
Therefore, the correct expression for the volume of the box is:
2w^3 + 9w + 20