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3 years ago

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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:

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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Answer:

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Step-by-step explanation:

For this problem you are supposed to use a calculator that allows you to do an exponential regression. There are many tools that can help you with that, depending on what your instructors has assigned for your class.

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Notice as well that since:

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3 years ago

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Alecsey [184]

Answer:

See Explanation

Step-by-step explanation:

<em>Question like this are better answered if there are list of options; However, I'll simplify as far as the expression can be simplified</em>

Given

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Required

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Represent $tan^2x$ with b

The expression becomes

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Factorize

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Recall that

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Subtract $tan^2x$ from both sides

$sec^2x - tan^2x =1 +tan^2x - tan^2x$

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Substitute 1 for $sec^2x - tan^2x$ in $(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

$(1) (sec^2x+ 2 tan^2x)$

Open Bracket

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Solving further;

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