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?
1 answer:
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 = ![\frac{lwh}{3}](https://tex.z-dn.net/?f=%5Cfrac%7Blwh%7D%7B3%7D)
where:
l = length
w = width
h = height
therefore:
V = ![\frac{2X2X 6}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2X2X%206%7D%7B3%7D)
V = ![\frac{24}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B3%7D)
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
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