Question

The diagram shows a square pyramid over a cube. What is the volume of the entire figure?

Answer 1

Answer: 810

Step-by-step explanation:

first lets take down the information we were given,

height (h) of the pyramid should be 12 - 9 = 3

base (a) = 9

So we calculate the volume of a square pyramid

V = a²h/3

V = (9² × 3) / 3

v = (81 × 3) / 3

V = 81

now we calculate the volume of the cube using the formula

V = a³

V = 9³

V = 729

NOW to get the volume of the entire figure

we say

volume of square pyramid + volume of cube

81 + 729 = 810