Question

Find the following measure for this figure.

Answer 1

Answer:

Final answer is 400 cubic units.

Step-by-step explanation:

We have been given length of the base edge of square pyramid = a = 10 units

vertical height of the square pyramid = h = 12 units

Now we need to find the volume of the square pyramid.

So apply formula :

$Volume = \frac{1}{3}a^2h$

$Volume = \frac{1}{3}(10)^2(12)$

$Volume = \frac{1}{3}(100)(12)$

$Volume = \frac{1}{3}(1200)$

$Volume = 400$

Hence final answer is 400 cubic units.

Answer 2

Answer: first option.

Step-by-step explanation:

The formula you must use to calculate the volume of the figure shown is the following:

$V=\frac{BH}{3}$

Where B is the area of the base and  H is the height.

Assuming that the base of the pyramid is a square, you have that B is:

$B=(10units)^2=100units^2$

Substitute values into the formula, Then you obtain:

 $V=\frac{(100units^2)(12units)}{3}=400units^3$