To find the length of one side of the square base of a regular pyramid, we can use the formula for the volume of a pyramid: ( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} ). Given that the volume ( V = 300 ) cu-ft and the height ( h = 25 ) ft, we can rearrange the formula to find the base area:
[ \text{Base Area} = \frac{V \times 3}{h} = \frac{300 \times 3}{25} = 36 \text{ sq-ft}. ]
Since the base is square, the area is also given by ( \text{side}^2 ), so ( \text{side}^2 = 36 ), which means the length of one side of the base is ( \sqrt{36} = 6 ) ft.
The volume of a regular pyramid with a square base of 8cm and a slant height of 5 cm is: 64 cm3
Volume = 960 cm3
You need some information about the height of the pyramid and the formula will depend on whether you have the vertical height or the slant height or the length of a lateral edge.
Volume = 50 in3
To find the lateral height of a square pyramid, first identify the apex (top point) of the pyramid and the midpoint of one of its base sides. The lateral height is the length of the segment connecting the apex to this midpoint. You can use the Pythagorean theorem, where the lateral height forms the hypotenuse of a right triangle with the height of the pyramid and half the base length as the two other sides. Thus, the formula is ( l = \sqrt{h^2 + \left(\frac{b}{2}\right)^2} ), where ( l ) is the lateral height, ( h ) is the height, and ( b ) is the length of a base side.
The volume of a regular pyramid with a square base of 8cm and a slant height of 5 cm is: 64 cm3
To find the length of one side of the square base of a regular pyramid with a volume of 300 cubic feet, we use the formula for the volume of a pyramid: ( V = \frac{1}{3} \times \text{Base Area} \times \text{Height} ). Assuming the base is a square, the base area is ( s^2 ) (where ( s ) is the side length). However, without the height of the pyramid, we cannot directly calculate ( s ). If the height were known, we could rearrange the formula to solve for ( s ).
Volume = 960 cm3
42.7
You need some information about the height of the pyramid and the formula will depend on whether you have the vertical height or the slant height or the length of a lateral edge.
You can use the formula V = (1/3) × b^2 × h, where b is the base length of the square pyramid and h is the height of the pyramid. This formula calculates the volume of a square pyramid by taking one-third of the base area multiplied by the height.
120
429 m
multiply the length by the width by the height
You can calculate the volume of a square-based pyramid by using the formula V = (1/3) * base area * height. If you know the length of the base, you can find the base area by squaring this length. Plug in the values to find the volume.
Volume = 50 in3
It is 448 square cm.