Question

6 om

A sculptor chisels amay at the marble to make a pyramid with the same base dimensions but one for the volume of the original What is the tegut the payamid

Answer 1

The height of the pyramid is 2cm

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 = (V_1)/(4)`

So, we have:

`36cm^2h = (288cm^3)/(4)`

`36h = (288cm)/(4)`

`36h = 72cm`

Solve for h

`h = (72cm)/(36)`

`h =2cm`