The volume of a pyramid with a base area, $A$A, and height, $h$h, is given by the formula:
Volume of pyramid | $=$= | $\frac{1}{3}\times\text{area of base }\times\text{height }$13×area of base ×height |
$V$V | $=$= | $\frac{1}{3}Ah$13Ah |
The height of the prism must be perpendicular to the base when using this formula. If we are given a slant height, we'll need to use Pythagoras' theorem to work out the vertical height for the volume calculation.
Find the volume of the rectangular pyramid shown.
We wish to find the volume of the following right pyramid.
First find the vertical height, correct to two decimal places.
Hence find the volume to one decimal place
A rectangular pyramid has a volume of $288$288 cm3. The base has a width of $12$12 cm and length $6$6 cm. Find the height $h$h of the pyramid.
performs calculations in relation to two-dimensional and three-dimensional figures