Answer:
294 square meters
Explanation:
The surface area of a certain pyramid is 54 square meters. Its volume is 648 cubic meters. If a similar pyramid has a volume of 8232 cubic meters, what is its surface area?
We solve the above question using Proportion
The surface area of a certain pyramid
= 54 square meters.
Volume of certain pyramid =
648 cubic meters.
Surface area of similar pyramid = x
Volume of similar pyramid = 8232 cubic meters.
Hence,
Surface area : Volume
= Surface area/ Volume
= 54 m²/648 m³ = x/8232 m³
Cross Multiply
54 × 8232 = 648 × x
x = 54 × 8232/648
x = 294 square meters