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

Question

2 years ago

15

ation that best represent the volume of the prism

2 answers:

solong [7] · Answer 1 · 2022-04-22T19:05:51+03:00

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] · Answer 2 · 2022-04-22T17:26:17+03:00

5 0

243 = (x+3)^2 (3)

Hope this helps :)