Luis has a pyramid shaped plant pot. It has a square base with a side length of

36

cm

36 cm36, start text, space, c, m, end text, and the height of the pot is

36

cm

36 cm36, start text, space, c, m, end text.


36

cm

36 cm

36

cm

36 cm

Luis wants to fill the pot with soil so that the soil takes up

75

%

75%75, percent of the pot's volume.

How far up the pot will the soil reach?

Round to the nearest tenth.

Respuesta :

Answer:

The soil will occupy in 11664cm³ of the pot which is 3/4 or 0.75 of the squared based pyramid pot.

Step-by-step explanation:

The volume of a square based pyramid = V = a²h/3

a = base edge or side length = 36cm

h = height = 36cm

V = 36² × 36/3

V = 15552cm³

Luis wants to fill the pot with soil so that the soil takes up 75 % the pot's volume.

75% of the pot's volume =

75/100 × 15552cm³

= 11664cm³

The soil will occupy 11664cm³ of the pot which is 3/4 or 0.75 of the squared based pyramid pot.

Answer:

The soil will reach about 32.7 cm up the pot.

Step-by-step explanation:

Cause I took a test