To find the height of the rectangular pyramid, we can use the formula for the volume of a pyramid, which is given by:
Volume = (1/3) * Base Area * Height
Given that the volume of the pyramid is 210 cubic centimetres, the base has a length of 8 centimetres and a width of 7 centimeters, we can calculate the base area as:
Base Area = Length * Width
Base Area = 8 cm * 7 cm
Base Area = 56 square centimetres
Now, we can substitute the known values into the volume formula:
210 = (1/3) * 56 * Height
Solving for the height:
210 = (1/3) * 56 * Height
210 = 56/3 * Height
210 = 18.67 * Height
Height = 210 / 18.67
Height ≈ 11.25 cm
Therefore, the height of the rectangular pyramid is approximately 11.25 centimetres.
