The shape consists of rectangular solid and rectangular pyramid, so the volume of the shape is the sum of volumes of both solid and pyramid.
The volume of the rectangular solid is
[tex]V_{solid}=\text{length}\cdot \text{width}\cdot \text{height}=14\cdot 14\cdot 6=1176\ ft^3.[/tex]
The volume of the pyramid is
[tex]V_{pyramid}=\dfrac{1}{3}\cdot A_{base}\cdot \text{height}=\dfrac{1}{3}\cdot 14\cdot 14\cdot 5=\dfrac{980}{3}\ ft^3.[/tex]
Thus,
[tex]V_{shape}=1176+\dfrac{980}{3}\approx 1502.7\ ft^3[/tex]
Answer: 1502.7 cubic feet
Answer:
1502.7 cubic feet
Step-by-step explanation:
We have a rectangular solid with the following dimensions:
length = 14 feet, width = 14 feet; and height = 6 feet.
We know that, volume of a rectangular solid = l x w x h
so putting in the given values to get:
volume of rectangular solid = 14 x 14 x 6 = 1176 cubic feet
We also have a rectangular pyramid with the following dimensions:
length = 14 feet, width = 14 feet; and height = 5 feet.
We know that, volume of a rectangular pyramid = (l x w x h) / 3
so putting in the given values to get:
volume of a rectangular pyramid = (14 x 14 x 5) / 3 = 326.7 cubic feet
Therefore, the volume of the tent = 1176 + 326.7 = 1502.7 cubic feet
