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Find the volume of the oblique pyramid with a square base. Note that the figure is not to scale. Enter your answer as a fraction.
Find the volume of the oblique pyramid with a rectangular base. Note that the figure is not to scale. Enter your answer as a fraction.
To find the volume of an oblique pyramid, whether it has a square base or a rectangular base, you can use the same formula for volume:
[ V = frac{1}{3} times B times h ]
Where:
– ( V ) is the volume,
– ( B ) is the area of the base,
– ( h ) is the height of the pyramid (the perpendicular height from the base to the apex).
1. For a square base pyramid:
– If the side length of the square base is ( s ), then the area ( B = s^2 ).
– Using the height ( h ), the volume is:
[ V = frac{1}{3} times s^2 times h ]
2. For a rectangular base pyramid:
– If the base dimensions are ( l ) (length) and ( w ) (width), then the area ( B = l times w ).
– Using the height ( h ), the volume is:
[ V = frac{1}{3} times (l times w) times h ]
You can insert the specific measurements you have (like the side length for the square base or the length and width for the rectangular base) into the formulas above to get your final answer in fraction form.
If you have specific dimensions, feel free to share them for more precise
To find the volume of an oblique pyramid, whether it has a square or rectangular base, we can use the same formula as for a right pyramid:
[
V = frac{1}{3} B h
]
where ( V ) is the volume, ( B ) is the area of the base, and ( h ) is the height of the pyramid (the perpendicular distance from the base to the apex).
1. For a square base:
– If the side length of the square base is ( s ), then the area ( B ) is:
[
B = s^2
]
– Therefore, the volume ( V ) is:
[
V = frac{1}{3} s^2 h
]
2. For a rectangular base:
– If the length and width of the rectangular base are ( l ) and ( w ) respectively, then the area ( B ) is:
[
B = l times w
]
– Thus, the volume ( V ) is:
[
V = frac{1}{3} (l times w) h
]
Make sure to substitute the specific values of ( s ), ( l ), ( w ), and ( h ) from your problem into these formulas to find the volumes. If you need further assistance