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
tangare [24]
2 years ago
9

What is the volume of the composite figure? Explain your work. A complete answer should include how you broke up the figure, whi

ch numbers you multiplied to find the volume. You may want to use the formula for volume to find the solution.

Mathematics
1 answer:
Sphinxa [80]2 years ago
8 0

Answer:

15,000\:\mathrm{mm^3}

Step-by-step explanation:

The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.

The volume of the square prism is given by V=s^2\cdot h, where s is the base length and h is the height. Substituting given values, we have: V=14^2\cdot 30=196\cdot 30=5,880\:\mathrm{mm^3}

The volume of a trapezoidal prism is given by V=\frac{b_1+b_2}{2}\cdot l\cdot h, where b_1 and b_2 are bases of the trapezoid, l is the length of the height of the trapezoid and h is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (\frac{b_1+b_2}{2}) multiplied by the trapezoid's height (l).

Substituting given values, we get:

V=\frac{14+24}{2}\cdot (30-14)\cdot 30,\\V=19\cdot 16\cdot 30=9,120\:\mathrm{mm^3}}

Therefore, the total volume of the composite figure is 5,880+9,120=\boxed{15,000\:\mathrm{mm^3}} (ah, perfect)

Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:

V=30^2\cdot 14+\frac{1}{2}\cdot10\cdot 16\cdot 30=\boxed{15,000\:\mathrm{mm^3}}\checkmark

You might be interested in
Find the perimeter of a square with sides that measure (2/3)g centimeters.
BARSIC [14]

Answer:

Perimeter of a SQUARE

4 x s

4 x 2.3 = 9.2 cm

Hence the perimeter of the square is 9.2cm

3 0
2 years ago
Read 2 more answers
In May, the school store sells 80 erasers. In June, the store sells only 16 erasers. What is the percent of change in erasers so
lawyer [7]

Answer:  80%

Step-by-step explanation:

Since we have given that

Number of erasers sold in May = 80

Number of erasers sold in June = 16

Decrement in 1 month gap is given by

16-80=-64

So, Percentage of change in erasers sold from May to June is given by

\frac{-64}{80} × 100

= -80% (Decreased 80%)

4 0
3 years ago
Erin has 5 cans of juice and drinks 1/3 of a can daily. in how many days will she empty all the cans she has? I think it's 1/15
In-s [12.5K]
The correct answer to your question is 15 days because if she drinks 1/3 of a can a day it will take 3 days to drink one can. Now multiple the 3 days for one can by the 5 cans and you get 15 days to finish all of the cans.
7 0
3 years ago
I will give brainliest to first CORRECT answer.
astraxan [27]

Answer:

C. 576 ft.

Step-by-step explanation:

If the garden has a perimeter of 72feet and the lengths of each of the sides are lengthened by a factor of 8.

Perimeter of the enlarged garden = perimeter before enlargement x enlargement factor

That’s 72 x 8

576feet

7 0
3 years ago
Read 2 more answers
17. What are the three angle measures in the triangle shown below?
lianna [129]

Answer:

Option (1)

Step-by-step explanation:

By using triangle sum theorem in the given triangle,

(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°

(5x + 11x + 3x) - (7 + 4 - 1) = 180

19x - 10 = 180

19x = 190

x = 10

Therefore, (3x + 1)° = 30 + 1

                                = 30°

(11x - 4)° = 110 - 4

              = 106°

(5x - 7)° = 43°

Therefore, Option (1) will be the correct option.

4 0
3 years ago
Other questions:
  • What is x minus 3 times x plus 2
    7·2 answers
  • Simplify the expression |-19|
    15·1 answer
  • Peter has 51 fruit chews to share with Josh and Jenny. The number of fruit chews Peter gives to Josh is 9 less than four times t
    5·1 answer
  • What is the value of x?<br><br> Enter your answer in the box.<br><br> x = ? in
    13·1 answer
  • What is sin -1 (1/2) if the terminal side of 0 is located in quadrant 1
    5·1 answer
  • Express the following 48-bit binary MAC address in hexadecimal 11101100 – 00100111 – 10111001 – 11010101 – 01101111 – 10100011
    5·2 answers
  • Which number goes in the blank?
    15·1 answer
  • Write the first five terms of each sequence.
    7·1 answer
  • Solve for the unknown variable in the following equation: 2a = 4.6
    10·2 answers
  • (sinx) / (1-cosx) =cscx+cotx
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!