To calculate the surface area of a square pyramid, you need to find the area of the base (which is a square) and the area of the four triangular faces. The formula for the surface area of a square pyramid is SA = s^2 + 2sl, where s is the side length of the base and l is the slant height. In this case, with a base side length of 8 inches and a slant height of 15 inches, the surface area would be SA = 8^2 + 2(8)(15) = 64 + 240 = 304 square inches.
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
If the base length is 6 inches then the base area will be 9*sqrt(3) = 15.6 cm2, which rounds to 16, not 15. So some of the information provided is patently incorrect and therefore the question has no sensible answer.
length times width times height returns an answer in square inches, provided length, width and height are in inches. Example: 2(inches)*3(inches)*1(inches)=6(inches)*(inches)*(inches) =6(inches)^3=6 cubic inches
It is 9180900 square inches.
To calculate the surface area of a square pyramid, you need to find the area of the base (which is a square) and the area of the four triangular faces. The formula for the surface area of a square pyramid is SA = s^2 + 2sl, where s is the side length of the base and l is the slant height. In this case, with a base side length of 8 inches and a slant height of 15 inches, the surface area would be SA = 8^2 + 2(8)(15) = 64 + 240 = 304 square inches.
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
The length of a triangle with a height of 12 inches and an area of 18 square inches is 3 inches, since area is 1/2 * base * height. Therefore, 2 * area divided by height = 2 * 18 /12 = 3
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.
16 ins.
If the base length is 6 inches then the base area will be 9*sqrt(3) = 15.6 cm2, which rounds to 16, not 15. So some of the information provided is patently incorrect and therefore the question has no sensible answer.
If the VOLUME is 999 SQUARE inches then you have gone wrong. SQUARE inches are a measure of AREA VOLUME is measured in CUBIC units. Assuming you meant The volume of a prism is 999 CUBIC inches, then the volume of a pyramid with the same height is indeterminate (cannot be given), as there is NO INDICATION of how the height of the pyramid relates to the height of the prism. So, ASSUMING you mean the volume of a prism is 999 CUBIC inches AND the HEIGHT of the pyramid is the same as the height of the prism, then the volume of the pyramid is one third that of the prism, ie 999 cu in ÷ 3 = 333 CUBIC inches.
18 square inches is probably the area of the triangle, not the length of the base. The length of the base would be measured in inches (a unit of length), not square inches (a unit of area). So area = 1 / 2 * base * height = 18 square inches (given) height = 4 * base (given) 1 / 2 * base * 4 * base = 18 square inches 2 * base * base = 18 square inches base * base = 9 square inches base = 3 inches height = 4 * base = 4 * 3 inches = 12 inches Checking our work: height is 4 times the base (12 = 4 * 3) area is 18 (1/2 * 12 * 3).
length times width times height returns an answer in square inches, provided length, width and height are in inches. Example: 2(inches)*3(inches)*1(inches)=6(inches)*(inches)*(inches) =6(inches)^3=6 cubic inches