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
2 answers:
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
243 = (x+3)^2 (3)
Hope this helps :)
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