A planter in the shape of a square pyramid is being filled with soil. Soil cost $0.78 per cubit cubic foot. What is the cost of filling the planter with soil?

Respuesta :

Answer:

The options are given below:

a. $24.00

b. $8.00

c. $6.24

d. $18.72

The correct option is c.

Step-by-step explanation:

For this problem, we will first solve for the volume as follows:

Volume = [tex]\frac{lwh}{3}[/tex]

where:

l = length

w = width

h = height

therefore:

V = [tex]\frac{2X2X 6}{3}[/tex]

V = [tex]\frac{24}{3}[/tex]

V= 8ft^3

Now we calculate the cost of filling the pyramid:

Since 1ft^3 cost $0.78

Then 8ft^3 will cost = 8 X 0.78 = $6.24