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
ANTONII [103]
3 years ago
15

Question 1

Mathematics
1 answer:
12345 [234]3 years ago
4 0

Answer:

A). Surface area = 222 cm²

Volume = 180 cm³

B). Surface area = 375 cm²

Volume = 360 cm³

C). % increase in surface area = 67.57%

% increase in volume = 100%

Step-by-step explanation:

In the figure attached base of a prism has been given.

A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)

Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8

                                       = 30

Area of the base = 8×5 - 2×2 = 36 cm²

Surface area of the prism = 30×5 + 2×(36)= 222 cm²

Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off

                                  = 8×5×5 - 2×2×5

                                  = 200 - 20

                                  = 180 cm³

B). Surface area of the prism if it's height is 10 cm,

Surface area = 30×10 + 2×(36) = 372 cm²

Volume of the prism = 8×5×10 - 2×2×10

                                   = 400 - 40

                                   = 360 cm³                                      

C). Increase in surface area = 372 - 222 = 150 cm²

% increase in the surface area = \frac{150}{222}\times 100 = 67.57%

Increase in volume = 360 - 180 = 180 cm³

% increase in volume = \frac{180}{180}\times 100 = 100%

You might be interested in
Bottom#4<br> Which value represents the median from the box and whisker plot attached?
Andreyy89

Answer:

Step-by-step explanation:

the median is the line inside the box which is 84

8 0
3 years ago
IF YOU ARE SMART DO THIS PROBLEM NOT PEOPLE WHO DONT WANN HELP
Alexxandr [17]

Answer:

3.28ft

Step-by-step explanation:

Rectangular Prism Formula:

l*w*d = v

(plug in values)

2.6*1.4*d=11.94

3.64*d=11.94

d = 3.28ft

5 0
3 years ago
Peta makes a painting on a parallelogram-shape canvas
Helen [10]

the answer should be C. 5.27

6 0
3 years ago
1. Sally said that when you add or subtract positive or negative decimals, you can change the order of the decimals and still ge
Oduvanchick [21]

can you type the decimals in the comments
7 0
3 years ago
She worked a total of 15 hours. If she makes $15 per hour tutoring and $9 per hour at the grocery store and made a total of $159
Ugo [173]

Answer:

11 hours she worked at the grocery store

Step-by-step explanation:

assuming,

the number of hours worked at tutoring = x

the number of hours worked at grocery store = y

which means,

the amount she made at tutoring = x* $15

the amount she made at grocery store = y*$9

we have 2 equations

<em>total number of hours</em>

1) x+y= 15  

<em>total amount she earned</em>

2) x* $15+ y* $9= $159

From equation 1

x+y= 15  

x=15-y

<em>we replace this x value in equation 2</em>

x* $15+ y* $9= $159

(15-y)* $15+ y* $9= $159

(15*15)- 15y+9y=159

225-6y=159

225-159=6y

66=6y

66/6=y

<u>11=y</u>  <em>the number of hours she worked at grocery store. </em>

<em>we place y=11 in our derived x equation</em>

x=15-y

x=15-11

<u><em>x=4 </em></u><em>the number of hours she worked at tutoring. </em>

3 0
3 years ago
Other questions:
  • What is the slope of the line?<br> A. -2<br> B. -1/2<br> C. 1/2<br> D. 2
    10·1 answer
  • Simplify this expression.<br><br> m13 × m6 =
    7·2 answers
  • Please help me with this math problem Find the slope of the line passing through the points (-2,0) and (-5,-1)
    8·1 answer
  • Keri has a spinner with sections labeled Black,
    5·1 answer
  • Ms. Stone decided to purchase 2 reusable bottles instead. When she got to the counter, she realized she had $10.15, only ⅝ of th
    6·1 answer
  • Tom is afraid of heights above 9 feet. He is asked to repair a side of a high deck. The bottom of a ladder must be placed 6 feet
    11·2 answers
  • ) What are the solutions of -1&lt;=x-3&lt;4 ?​
    10·1 answer
  • Answer if u actually know it only!!
    11·2 answers
  • 12 – 7x ≤-2 <br> solve and show work
    11·1 answer
  • Sam hiked 4.5 km along a straight bush track, and then turned 40° and walked a further 3.8 km in a straight line.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!