Answer:
Volume = 294 in.^3
Explanation:
Formula for the volume of a rectangular prism:
The formula for the volume of a rectangular prism is given by:
V = lwh, where
- V is the volume in units cubed,
- l is the length,
- w is the width,
- and h is the height.
Determining the length (l) and width (w) of the rectangular prism:
- The length and width of a rectangular prism are comprised of the two sides of rectangular base.
- Note that these two terms are interchangeable.
Thus, we can say the length is 6 in. and the width is 7 in.
Determining the height (h) of the rectangular prism:
- The slant of the figure indicates that it's an oblique rectangular prism.
- In oblique rectangular prisms, the height is an altitude lying the prism.
- We see that there is a 7 in. altitude outside the prism.
Thus, the height is 7 in.
Determining the volume (V) of the oblique rectangular prism:
Now we can find the volume, V, of the oblique rectangular by substituting 6, 7, and 7 for l, w, and h respectively in the rectangular prism volume formula:
V = (6)(7)(7)
V = 42(7)
V = 294
Thus, the volume of the oblique rectangular prism is 294 in.^3