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igor_vitrenko [27]
2 years ago
10

A container shaped as a rectangular prism can hold 756 wooden cube blocks with edge lengths of 1/3 ft

Mathematics
1 answer:
zhuklara [117]2 years ago
3 0
The answer is 252 ft3 because logically if the cubes had a length of one foot, the rectangular prism would be 756 feet, so you would just divide that number by three considering that the cubes are only 1/3 of a foot.
Hope this helps !!
Feel free to ask any questions :)
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Find the volume and surface area of the composite figure. Give your answer in terms of π.
irakobra [83]

Answer:

V = 240π cm^3 , S= 168π cm^2

Step-by-step explanation:

The given figure is a combination of hemi-sphere and a cone

<u>Volume:</u>

For volume

r = 6 cm

h = 8 cm

Volume\ of\ cone = \frac{1}{3}\pi r^2h\\= \frac{1}{3}\pi (6)^2*8\\=\frac{1}{3}\pi *36*8\\=\frac{288}{3}\pi\\=96\pi cm^3 \\\\Volume\ of\ hemisphere = \frac{2}{3}\pi r^3\\=\frac{2}{3}*\pi * (6)^3\\=\frac{2}{3}*\pi *216\\=\frac{432}{3}\\=144\pi cm^3 \\\\Total\ Volume= Volume\ of\ cone + Volume\ of\ hemisphere\\= 96\pi +144\pi \\=240\pi cm^3

<u>Surface Area:</u>

For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere

We have to find the lateral height

l = \sqrt{r^2+h^2}\\ l = \sqrt{(6)^2+(8)^2} \\l= \sqrt{36+64}\\ l = \sqrt{100}\\l = 10cm\\\\Surface\ area\ of\ cone = \pi rl\\= \pi (6)(10)\\=\pi *60\\=60 \pi\ cm^2\\\\Surface\ area\ of\ hemisphere = 2\pi r^2\\= 2 \pi * (6)\\= 2 \pi *36\\= 72 \pi\ cm^2\\\\Total\ surface\ Area = Surface\ area\ of\ cone + Surface\ area\ of \ hemisphere\\= 60 \pi + 72 \pi\\=132 \pi\ cm^2

Hence the first option is correct ..

3 0
2 years ago
Simplify and write the complex number in standard form 4i(7+6i)+2i(5-2i)
Bezzdna [24]

Answer:

20i² + 38i

Step-by-step explanation:

4i(7+6i)+2i(5-2i)

28i + 24i² + 10i - 4i²

24i² - 4i² + 28i + 10i

20i² + 38i

3 0
2 years ago
Read 2 more answers
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astra-53 [7]

Answer:

348

Step-by-step explanation:

Length-l

Width-w  

Height-h

A=2(wl+hl+hw)=2·(8·9+6·9+6·8)=348

3 0
3 years ago
The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *
Rudik [331]

Answer:

12 sides

Step-by-step explanation:

To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;

first write down the formula for finding sum of the interior angle of a polygon

s= (n-2)180

where s is the sum of the interior angle and n is the number of side

from the question given, sum of the interior angle s=1800 degrees

substitute s=1800 degree into the formula and solve for n

s= (n-2)180

1800 = (n-2)180

divide both-side of the equation by 180

1800/180 = n-2

10 = n - 2

add 2 to both-side of the equation

10 + 2 = n

12 = n

n= 12

The polygon have 12 sides

5 0
3 years ago
Which of the following will form the composite function?
zhuklara [117]

Answer:

B

Step-by-step explanation:

In the composition of <em>f</em><em> </em>and <em>g</em>, the equation is telling us to place the function <em>f</em> inside <em>g</em>. Observing in B that <em>f</em> is (x + 4), then this can be put in place of the x in 3x^2, making it 3(x + 4)^2 and finally the minus 5.

5 0
3 years ago
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