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
Varvara68 [4.7K]
2 years ago
14

The volumes of two similar solids are 729 inches3 and 125 inches3. If the surface area of the smaller solid is 74. 32 inches2, w

hat is the surface area of the larger solid? Round to the nearest hundredth. 133. 78 in. 2 240. 80 in. 2 433. 43 in. 2 678. 32 in. 2.
Mathematics
1 answer:
Lelu [443]2 years ago
8 0

The surface area of the larger solid, rounded to the nearest hundredth is given by: Option B: 240.80\: \rm  inch^2

<h3>How can we interpret volume of a solid?</h3>

Volume of a solid is usually expressed in cubic units, or units cube.

Suppose that the volume was expressed in x cubic units. Then you can say that the considered solid takes same space as the volume occupied by x cubes of 1 unit as their side lengths.

<h3>What are similar objects?</h3>

They're like zoomed version of each other(might be non-zoomed, zoomed in, or zoomed out). Their sides can be obtained by multiplying one object's sides by a single constant(by single constant, we mean constant which will be same for obtaining any corresponding side).

For the given case, we're given that:

  • Volume of first solid = 729 cubic inches.
  • Volume of second solid = 125 cubic inches.

Both solids are similar.

Thus, let the scale factor by which their sides change be 'f'.

Then, we get:

  • Side of first solid = f × side of second solid
  • Surface area of first solid(a square piece chosen on its surface) =  f × f × surface area of second solid

(as two times sides multiplied, so two times f got multiplied).

Similarly,

  • volume of first solid =  f × f × f × volume of second solid.

Or

729 = f^3 \times 125\\f = \: ^3\sqrt{\dfrac{729}{125}} = \dfrac{9}{5} = 1.8

As surface area of smaller solid(second solid is smaller as its volume is less) is 74.32 sq. inches, and f = 1.8, thus, we get:

S_{\text{larger solid}} = f^2 \times S_{\text{smaller solid}}  = (1.8)^2 \times 74.32\\S_{\text{larger solid}} = 240.7968 \approx 240.80 \: \rm inch^3

Thus, the surface area of the larger solid, rounded to the nearest hundredth is given by: Option B: 240.80\: \rm  inch^2

Learn more about volume and surface area here:

brainly.com/question/2952465

You might be interested in
How do you simplify, if possible, 3pq x 5qp?
pav-90 [236]
15p^2q^2 because you multiply the coefficients and the vaiables. 3x5 is 15, pxp is p^2, and qxq is q^2
7 0
3 years ago
WILL GIVE BRAINLIEST FAST!! Will Give Brainliest if you show all the steps. 8x - 6 / 2 = x + 12
Naddik [55]

Answer: 15/7 2 1/7

Step-by-step explanation: First divide 8x-3=x+12 Then add 3 to both sides.

8x=x+15 Subtract x from both sides. 7x=15 Then divide again so 7/7 and 15/7. If you simplify it become 2 1/7

4 0
3 years ago
Read 2 more answers
On a map if 1/2 inch equals 5 miles how long would 180 miles be on the map
anzhelika [568]
18 inches would be the answer
5 0
3 years ago
40 POINTS TO ANSWER ALL
slamgirl [31]

Answer:

i think its a b and c

Step-by-step explanation:

8 0
3 years ago
Can someone help me please
Radda [10]
B, every other point has its own graph.
6 0
2 years ago
Other questions:
  • Geometry help. Inscribing circle help and constructing lines.
    12·1 answer
  • F(x)=-2|x|-3 find: f(-3) and find: -2f(x)<br><br><br> PLEASE HELP!
    9·1 answer
  • What is the area of the circle shown below?
    14·1 answer
  • 5 meters in 0.1 second
    8·2 answers
  • Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each sale
    11·1 answer
  • Solve these problems not give tips solve
    5·2 answers
  • 10 ft area of base 62ft 2 (squared)
    13·1 answer
  • Find the area of the pool
    6·1 answer
  • What’s the equation?
    9·1 answer
  • Determine the probability of choosing a pair need help
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!