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3 years ago

What is the volume of the prism? --- m3

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

7 0

Answer:

672

Step-by-step explanation:

Formula is length times width times height

14 x 8 = 112

112 x 6 = 672

vovikov84 [41]3 years ago

7 0

Answer:

Volume of the prism= $672m^3$

Step-by-step explanation:

The given prism is in the shape of a cuboid whose length, breadth and height are given:

$Length=14 m\\Breadth= 8 m\\Height=6 m$

Volume of a cuboid= Length*Breadth*Height

$= 14m*8m*6m\\\\=672m^3$

So, the volume of the cuboid prism is $672m^3$

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Gekata [30.6K]

Answer:

34/15

Step-by-step explanation:

I recognized the form of this decimal as a number divided by 3. However, when I multiplied it by 3, I got 6.8. This means that the fraction was not fully simplified. Multiplying by 5, I got 34. Since I had to multiply by 3 and then by 5 to get there, I multiplied by a total of 15. Hope this helps!

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3 years ago

A line is written in standard form Ax + By = 0, where A and B are not

cricket20 [7]

Answer:

A point that must lie on this line is the origin (0,0)

Step-by-step explanation:

we know that

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$Ax+By=C$

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therefore

A point that must lie on this line is the origin (0,0)

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3 years ago

Which of the following is not a solution of 3x=5y-1 a.(3,3) b.(7,4) c.(-1/3,0) d.(-2,-1)

erik [133]

3x = 5y - 1

(3,3)...not a solution
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3 years ago

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2 years ago

The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.

Nat2105 [25]

Answer:

A) Maximum error = 170.32 cm³

B)Relative error = 0.0575

Step-by-step explanation:

A) Formula for circumference is: C = 2πr

Differentiating with respect to r, we have;

dC/dr = 2π

r is small, so we can write;

ΔC/Δr = 2π

So, Δr = ΔC/2π

We are told that ΔC = 0.5.

Thus; Δr = 0.5/2π = 0.25/π

Now, formula for Volume of a sphere is;

V(r) = (4/3)πr³

Differentiating with respect to r, we have;

dV/dr = 4πr²

Again, r is small, so we can write;

ΔS/Δr = 4πr²

ΔV = 4πr² × Δr

Rewriting, we have;

ΔV = ((2πr)²/π) × Δr

Since C = 2πr, we now have;

ΔV = (C²/π)Δr

ΔV will be maximum when Δr is maximum

Thus, ΔV = (C²/π) × 0.25/π

C = 82 cm

Thus;

ΔV = (82²/π) × 0.25/π

ΔV = 170.32 cm³

B) Formula for relative error = ΔV/V

Relative error = 170.32/((4/3)πr³)

Relative error = 170.32/((4/3)C³/8π³)

Relative errror = 170.32/((4/3)82³/8π³)

Relative error = 170.32/2963.744

Relative error = 0.0575

3 0

2 years ago