Question

6 om

Answer 1

Answer:

The height of the pyramid is 2cm

Step-by-step explanation:

From the complete question, we have:

Marble Dimension:

$Length = Width = 6cm$

$Height = 8cm$

Pyramid

$Length = Width = 6cm$

Volume = 1/4th of the volume of the marble

Required

The height of the pyramid

First, calculate the volume of the Marble

$Volume = Length * Width *Height$

So:

$V_1 = 6cm * 6cm * 8cm$

$V_1 = 288cm^3$

Calculate the volume of the Pyramid

$Volume = Length * Width *Height$

$V_2 = 6cm * 6cm * h\ cm$

$V_2 = 36cm^2 h$

From the question, we understand that:

$V_2 = \frac{V_1}{4}$

So, we have:

$36cm^2h = \frac{288cm^3}{4}$

$36h = \frac{288cm}{4}$

$36h = 72cm$

Solve for h

$h = \frac{72cm}{36}$

$h =2cm$