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
FromTheMoon [43]
2 years ago
9

EASY- Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the f

inished object assuming it is empty inside.

Mathematics
1 answer:
Ymorist [56]2 years ago
7 0

Given:

A combined figure of a triangular prism and a cuboid.

To find:

The volume of the finished object assuming it is empty inside.

Solution:

From the given figure it is clear that the dimensions of the cuboid are 6 cm, 8 cm and 5 cm.

So, the volume of the cuboid is:

V_1=length\times width\times height

V_1=6\times 8\times 5

V_1=240

The volume of the cuboid is 240 cubic cm.

The area of a triangle is:

Area=\dfrac{1}{2}\times base\times height

Thus, the base area of the triangular prism whose base is 8 cm and height 4 cm, is:

B=\dfrac{1}{2}\times 8\times 4

B=16

The volume of a triangular prism is:

V_2=Bh

Where, B is the base area and h is the height of the prism.

The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:

V_2=16(5)

V_2=80

Now, the volume of the given figure is:

V=V_1+V_2

V=240+80

V=320

Hence, the volume of the finished object is 320 cubic cm.

You might be interested in
Which ratio represents 36%? <br> A. 3/8 <br> B. 9/25<br> C. 7/20<br> D. 11/30
Sladkaya [172]

Answer:  B. 9/25

Work Shown:

x% = x/100

36% = 36/100

36% = (9*4)/(25*4)

36% = 9/25

Using your calculator, you should find that 9/25 = 0.36 which converts to 36%, so that helps confirm the answer.

6 0
2 years ago
Gloria is an artist. She sets a goal to paint 2 paintings every month. The number of paintings Gloria creates depends on the num
BartSMP [9]

Answer:

we get the all equation of given condition  M = 2P+1   &   P=2M+1Step-by-step explanation:

Given that,

Number of painting made by Gloria every month is 2.

Gloria creates depends on the number of paintings p, Gloria paints over m months if she meet her goal.

we have to check all the apply.

According to question,

M is the independent variable and P is dependent variable.

So,   Relation formed by given statement is  M =2P

Case(1):  P is increased by 2 as M is increased by 1.

    Then,                   M+1= 2\times (P+2)

                                  M+1= 2P+2

                                       M = 2P+1

This is Equation of the given case(1).

Again, P is the independent variable and M is dependent variable.

      ∴                         P=2M

Case (2) M is increased by 2 as P increased by 1.

  Then,                P+1=2\times(M+2)

                             P+1=2M+2

                               P=2M+1

Hence,

we get the all equation of given condition  M = 2P+1   &   P=2M+1

4 0
3 years ago
Connor drove 340 miles on 8 gallons of gas. How many miles did his car travel per gallon of gas?
MrMuchimi

Answer:

42.5

Step-by-step explanation:

calculatour

5 0
3 years ago
If you help I will be grateful and if ur right I will give u brainliest(if I can)
xxTIMURxx [149]

a.) N

b.)A

c.) N

d.) S

e.) S

f.)A

g.) S

i don’t need anything, just helping you all! hope it’s correct!

5 0
3 years ago
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati
Lera25 [3.4K]

Answer:

  (36π -72) cm²

Step-by-step explanation:

The area of a segment that subtends arc α (in radians) is given by ...

  A = (1/2)r²·(α - sin(α))

Here, you have r = 12 cm and α = π/2 radians, so the area of the segment is ...

  A = (1/2)(12 cm)²·(π/2 -1) = (36π -72) cm²

4 0
3 years ago
Read 2 more answers
Other questions:
  • Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
    15·1 answer
  • Suppose $50,000 is divided into two bank accounts. one account pays 4% simple interest per year and the other pays 6.4%. after f
    10·1 answer
  • What does an algebraic expression always have?
    14·1 answer
  • The play took in $728 one night. The number of $8 adult tickets was 14 less than twice the number of $5 child tickets. How many
    5·1 answer
  • A blend uses 90 ounces of Kenyan tea, and 125 ounces of Darjeeling tea.
    14·1 answer
  • The following group of values was entered into the TVM Solver of a graphing
    5·2 answers
  • Please Help! Please write a detailed explanation of how you got your answer!!! Please don't write fake answers just for points.
    5·2 answers
  • Pls help!! will mark brainliest!!
    12·2 answers
  • Brad and Terrence are working on some math problems. Today, Terrence completed 15 math problems. This is 3 more than twice the n
    7·1 answer
  • Question 14 of 15
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!