1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Svetradugi [14.3K]
2 years ago
10

I need help finding both volume and surface area

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
6 0

Answer:

<u>Volume</u>

For the rectangle, h = 3cm, l = 8cm, w = 6cm
V = length x width x height
V = 8cm x 6cm x 3cm
V = 144cm^3

For the semi circle, we need to find the radius. The radius is width/2, so 6cm/2 = 3cm. r = 3cm, \pi = 3.14
V = radius^2 x height x \pi
V = 3cm^2 x 3cm x 3.14
V = 84.8 cm^3/2 (because the cylinder needs to be divided to form a semi-circle)
V= 42.4cm^3 (there are two cylinders though so we will multiply this by 2 in the total volume)

Total volume:
V = 144cm^3 + 42.4cm^3(2)
V = 186.4cm^3

<u>Surface Area</u>

Rectangular prism:
A = 2[w(l) + h(l) + h(w)]
A = 2[6cm(8cm) + 3cm(8cm) + 3cm(6cm)]
A = 180cm^2
But there are two sides that are covered by the semi-circular prisms, so we will have to calculate those sides and remove them.
A = l x w
A = 6cm x 3cm
A = 18cm^2(2) (2 being the two faces)
A = 36cm^2

A = 180cm^2 - 36cm^2
A = 144cm^2 (the area of the rectangle)

Semi-circular prism:
A = 2\pirh + 2\pir^2
Earlier, we found out that the radius of the circle is 3cm, so we will plug that in.
A = 2(3.14)(3cm)(3cm) + 2(3.14)(3cm)^2
A = 113.09cm^2

Total surface area:
A = 144cm^2 + 133.09cm^2
A = 277.09cm^2

Therefore the total volume of the prism is 186.4cm^3 and the total surface area is 277.09cm^2.





You might be interested in
A chord is 10cm from the centre of a circle of radius 15cm. Find the length of the chord.
almond37 [142]

Answer: 21.44 cm

Step-by-step explanation:

Given

Radius r=15 cm

distance of chord from the center is 10 cm

From the figure, the length of the chord is AC

Applying Pythagoras

\Rightarrow AO^2=OB^2+AB^2\\\Rightarrow AB^2=15^2-10^2\\\Rightarrow AB^2=225-100=115\\\Rightarrow AB=\sqrt{115}=10.72\ cm

The length of the chord is AC=2AB=21.44\ cm

5 0
3 years ago
Can some one help me on this
Vilka [71]
28 divided by 4 = 7
so do 7 * 5 which is 35 so they make 35 cookies in 5 seconds
4 0
2 years ago
4(3x+2y) distributive property pls help
Sonbull [250]

Answer:

12x+8y

Step-by-step explanation:

1) Expand by distributing terms.

4*3x+4*2y

2) Simplify 4*3x to 12x.

12x+4*2y

3) Simplify  4*2y to 8y.

12x+8y

<u>Therefor, the answer is </u><u>12x + 8y.</u>

8 0
2 years ago
Solve the inequality <br> a^2(a-4)(a+3)&gt;0
Marysya12 [62]
Use math papa it’s a good thing it’s on the browser
6 0
3 years ago
Which expression can be used to find the surface area of the following rectangular prism ?
Igoryamba

Answer:

i think.c) is correct answrr

6 0
3 years ago
Other questions:
  • A zoo has 15 Emperor penguins. The Emperor penguins make up 30% of all the penguins at the zoo
    11·1 answer
  • preston uses the bar diagram to represent 4x - 3 = 13. how would you use the bar diagram to solve for x
    12·1 answer
  • Evaluate the expression begin expression . . . 2 times n, times, the quantity n minus 1 . . . end expression, when n = 3 . A 11
    14·1 answer
  • For the polynomial function ƒ(x) = x4 − 12x3 + 46x2 − 60x + 25, find all local and global extrema.
    9·1 answer
  • What is b?<br> -17+b/8:13
    14·1 answer
  • Given points B(−12,2), T(−8,10), A(−7,12), F(−6,10), and G(−2,2), which of the following proves that △BAG~△TAF?
    5·1 answer
  • WHO KNOWS THIS PLEASE HELP
    5·1 answer
  • the following are the heights in centimeters of 15 randomly selected students. Find the mean height of the students.
    10·2 answers
  • 13.) Which of these is a better deal, on a per ounce basis?
    8·1 answer
  • I need help cause i already did this but i got a 67 and thats not good so helppp me
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!