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o-na [289]
3 years ago
14

What is the volume in cubic centimeters of a rectangular prism with a height of 8 centimeters a width of 6 centimeters and a len

gth of 6 centimeters
Mathematics
1 answer:
IrinaK [193]3 years ago
5 0

Answer:

288 cubic centimeters.

Step-by-step explanation:

The equation to find the volume of a rectangular prism is length x height x width. In this problem, there are all three measurements provided.

Using the equation l x h x w and plugging with in what you offered, it would be 8 x 6 x 6, which equals 288.

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An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of
Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = \pi r^{2} \frac{h}{3}

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm

We will now find the volume of the cone.

Volume of cone  \pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}

We know the density of ice is 0.93 grams per 1cm^{3}

1cm^{3} =0.93g\\\frac{168175\pi }{24}  cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g(Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = \pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}

Volume of cone being melted = New Volume - Original volume

= \frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = \pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = 5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= \frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

4 0
2 years ago
Find the equation of the line with a slope of -3, passing through the point (2,5).
Alexxx [7]
Y = -3(2) + 11
y = -6 + 11
y = 5

Answer is a) y = -3x + 11 , when x is 2 y is 5
8 0
3 years ago
The corner store is open 18 hours a day for 365 days a year. how many hours is the store open in a year?
Svetach [21]

Answer:

6570

Step-by-step explanation:

18x365=^

6 0
2 years ago
Find the annual percentage yield in the case of a bank offers an APR of 2.25% compounded quarterly.
VMariaS [17]

Answer:

its 0%

Step-by-step explanation:

4 0
3 years ago
6x5/9(fraction) so how do I do 6 x 5/9???? Hellppppp
Zolol [24]

Answer:

Reduce 6 to the lowest common denominator

Step-by-step explanation:

54/9 × 5/9

7 0
3 years ago
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