A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythagoras' Theorem thank you)

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

where B stands for Base area

and P for Base Parimeter

so

now we need our algebraic skills to figure out s

simplify parentheses:

reduce fraction:

simplify multiplication:

cancel 64 from both sides;

divide both sides by 16:

now we'll use Pythagoras theorem to figure out height

according to the theorem

substitute the value of l and s:

simplify parentheses:

simplify squares:

cancel 16 from both sides:

square root both sides:

recall the formula of a square pyramid

where A stands for Base area (l²)

substitute the value of h and l:

simplify multiplication:

reduce fraction:

hence,

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.