What fraction of the volume of the rectangular prism is the volume of the rectangular pyramid?
Thanks!
To find the fraction of the volume of the rectangular prism that is occupied by the volume of the rectangular pyramid, we need to calculate the ratio between the volume of the pyramid and the volume of the prism.
Let's denote the volume of the rectangular prism as V_prism, and the volume of the rectangular pyramid as V_pyramid.
To find the volume of the prism, you need to know the length, width, and height of the rectangular prism. Let's denote these dimensions as L_prism, W_prism, and H_prism, respectively. The volume of the prism can be calculated using the formula:
V_prism = L_prism × W_prism × H_prism
Next, to find the volume of the pyramid, you need to know the length, width, and height of the rectangular pyramid. Let's denote these dimensions as L_pyramid, W_pyramid, and H_pyramid, respectively. The volume of the pyramid can be calculated using the formula:
V_pyramid = (1/3) × L_pyramid × W_pyramid × H_pyramid
Once you have these measurements, you can calculate the fraction as:
Fraction = V_pyramid / V_prism
Remember to substitute the actual measurements of the prism and the pyramid into the formulas to find the respective volumes.
anything with straight sides and pointy top has volume = (1/3) height * base area
so
1/3