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Fittoniya [83]
3 years ago
15

A prism has a volume 243 cubic meters. If it has a height of 3cm and its base is a square with the sides of (x+3)cm. Make an equ

ation that best represent the volume of the prism
Mathematics
2 answers:
solong [7]3 years ago
6 0

Answer:

243000000 = (x+3)² × 3

x = 8997 cm or 89.97 m

Step-by-step explanation:

Volume of a prism = Base area × height

Volume = 243m³ = 243×100³ cm³

Volume = 243000000 cm³

(Since the dimensions are in cm, I've converted the volume in cm³)

Base is a square: Base area = side²

The equation is:

243000000 = (x+3)² × 3

(x+3)² = 243000000 ÷ 3

(x+3)² = 81000000

If need to solve further,

(x+3) = 9000

x = 8997 cm or 89.97 m

aliya0001 [1]3 years ago
5 0
243 = (x+3)^2 (3)

Hope this helps :)
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