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
How many pints are in One 11/4 miles
Lostsunrise [7]

3.303e+13 that is approximately

7 0
3 years ago
Plzzz help me math sucks <br> 84 + 45 = 3(28 + 15) No Yes
IRINA_888 [86]
Yes because 84+45 is 129 and 3(28+15) is 129
5 0
3 years ago
Read 2 more answers
Pts
Ede4ka [16]

Answer:

$7

Step-by-step explanation:

10-3=7

5 0
3 years ago
Which object has the mass of about one kilogram?
stira [4]

Answer:

A dictionary has the mass of about 1 killo so the book!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What theorems can be used to prove the triangles are congruent?<br>SSS<br>ASA<br>AAS<br>HL​
Arada [10]

Answer:

1.) SAS | 2.) HL | 3.) HL | 4.) SSS (Not too sure about this one)

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • .<br> Write the ratio. Explain what the ratio means.<br> 1.golf balls to golf tees
    13·2 answers
  • If I have 5 X's and I take 2 X's away, how many X's<br> will I have left?
    8·1 answer
  • 2/3y=-3x-9 pleaseeeeeeeeee
    6·1 answer
  • Can someone help me on this?? Im usually good at geometry, but I don't understand this.
    12·2 answers
  • A ribbon is 12 3/8.Into how many 3/4 peices can it be cut?
    5·1 answer
  • Katrina is asked to simplify the expression Negative 3 a minus 4 b minus 2 (5 a minus 7 b).
    9·2 answers
  • joe and james are selling pies for a school fundraiser. Customers can buy blueberry pies and blackberry pies. Joe sold 5 blueber
    7·1 answer
  • For purposes of making on-campus housing assignments, a college classifies its students as Priority A (seniors), Priority B (jun
    10·1 answer
  • Find the length of side x in simplest radical form with a rational denominator.
    9·1 answer
  • Solve for p:<br><br> p – 23 = -3<br> A. p = 20<br> B. p = -20<br> C. p = -26<br> D. p = 69
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!