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
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 = 960 cm3
The lateral surface area of a square pyramid can be calculated using the formula: ( \text{Lateral Area} = 2 \times \text{base length} \times \text{slant height} ). Here, the base length refers to the length of one side of the square base, and the slant height is the height of the triangular face from the base to the apex of the pyramid. To find the total lateral area, simply plug in the values for the base length and slant height into the formula.
Volume = 50 in3
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 ).
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.
42.7
Volume = 960 cm3
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.
The lateral surface area of a square pyramid can be calculated using the formula: ( \text{Lateral Area} = 2 \times \text{base length} \times \text{slant height} ). Here, the base length refers to the length of one side of the square base, and the slant height is the height of the triangular face from the base to the apex of the pyramid. To find the total lateral area, simply plug in the values for the base length and slant height into the formula.
120
429 m
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.
multiply the length by the width by the height
Volume = 50 in3