Question

How do I find the volume

Answer 1

Answer:

$\large\boxed{V=\dfrac{256\sqrt3}{3}\ cm^3}$

Step-by-step explanation:

The formula of a volume of a square pyramid:

$V=\dfrac{1}{3}(b^2)(H)$

b - edge of a base

H - height

We have b = 8cm and the triangle 90 - 60 - 30. The sides of that triangle are in ptoportion 1 : √3 : 2 (look at the picture).

From the picture we have

$a=\dfrac{b}{2}\to a=\dfrac{8}{2}\ cm=4\ cm$

Therefore

$H=a\sqrt3\to H=4\sqrt3\ cm$

Substitute:

$V=\dfrac{1}{3}(8^2)(4\sqrt3)=\dfrac{1}{3}(64)(4\sqrt3)=\dfrac{256\sqrt3}{3}\ cm^3$

Answer 2

To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.