Mathematics, 04.11.2019 12:31 Wildstyle3000

Apentagonal pyramid has a volume of 1536 in3. what is the volume of the pentagonal pyramid if the measures are multiplied by ?

a. 384 in3
b. 128 in3
c. 96 in3
d. 24 in3

the volume of a cube is 512 cm3. what are the sides multiplied by if the original volume of the cube was 8 cm3?

a. 4
b. 1/4
c. 64
d. 1/64
what are the sides of a rectangular prism increased by if the volume increases from 54 mm3 to 3456 mm3?

a. 2
b. 3
c. 4
d. 5

what is the volume of a rectangular prism when the lengths are tripled? l=5 w=4 h=3

a. 1620 ft3
b. 810 ft3
c. 360 ft3
d. 180 ft3

the radius and height of the cylinder are multiplied by 3. what is the volume of the cylinder?
radius =2 height =5

a. 540π in3
b. 360π in3
c. 180π in3
d. 60π in3

Answers: 2

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Answer from: hokamidat

The first question is incomplete.

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Question 2:

The volume of a cube is 512 cm³

512 cm³ = 8 cm x 8 cm x 8 cm or sides of 8 cm

8 cm³ = 2 cm x 2 cm x 2 cm or sides of 2 cm

So each side got multiplied by:

$\frac{8}{2}=4$ times.

Option A is the answer.

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Question 3.

The scale factor can be derived by :

$k^{3} =\frac{3456}{54}$

$k^{3} =64$

$k=\sqrt[3]{64}$

k = 4

Hence, the sides of a rectangular prism increased by 4.

Option C is the answer.

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Question 4.

The original volume is given by = 5*4*3=60 cubic feet

So, when the lengths are tripled, the overall volume is:

So, this can be shown as :

(5*3)(4*3)(3*3)=1620 cubic feet

Option A is the answer.

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Question 5.

The given radius and height are 2 units and 5 units respectively.

Also given, the radius and height of the cylinder are multiplied by 3, so new radius ad height becomes: 6 units and 15 units respectively.

Now, volume of cylinder is given as :

V = $\pi r^{2} h$

So, the answer will be = V = $\pi* 6^{2}* 15$

= 540π cubic units

Option A is the answer.

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Answer from: Quest

at least two

step-by-step explanation:

Answer from: Quest

so the perpendicular line goes through the given pointyou would get a perpendicular line at some random location

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

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Apentagonal pyramid has a volume of 1536 in3. what is the volume of the pentagonal pyramid if the me...

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