Question

Find the following measure for this figure.

Volume =
400 cubic units
433.3 cubic units
1,200 cubic units

Answer 1

Final answer is 400 cubic units.

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 = (1)/(3)a^2h`

`Volume = (1)/(3)(10)^2(12)`

`Volume = (1)/(3)(100)(12)`

`Volume = (1)/(3)(1200)`

`Volume = 400`

Hence final answer is 400 cubic units.

Answer 2

Answer: first option.

Explanation:

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

`V=(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=((100units^2)(12units))/(3)=400units^3`