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
gladu [14]
3 years ago
11

The surface area of a rectangular prism is 32 square inches. The volume of the prism is 12 cubic inches. The sum of all edge len

gths is 28 inches. If the length width and height are increased by 1 inch, what is the volume?
Mathematics
1 answer:
Goryan [66]3 years ago
3 0

Answer:

36 cubic inches.

Step-by-step explanation:

Let the length, width and height of the rectangular prism are a, b, c respectively.

So, surface area, 2(ab + bc + ca) = 32 {Given} ............ (1)

Volume, abc = 12 {Given} ............ (2)

And, the sum of all the edges, 4(a + b + c) = 28 {Given} .......... (3)

Now, if the length width and height are increased by 1 inch, then the volume of the prism will be = (a + 1)(b + 1)(c + 1)

= abc + (ab + bc + ca) + (a + b + c) + 1

= 12 + 16 + 7 + 1 {From equations (1), (2) and (3)}

= 36 cubic inches. (Answer)

You might be interested in
Order the numbers from least to greatest<br> √99 , 2 , 9.8
spin [16.1K]

Answer:

2, 9.8, \sqrt{99}

Step-by-step explanation:

The decimal form of \sqrt{99} is 9.949

3 0
3 years ago
Read 2 more answers
What is 72<br> x 19<br><br><br><br><br>the answer is what ​
PtichkaEL [24]

Answer:

1368

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Bajo del Gualicho has an elevation of - 72 meters. Lago Enriquillo has an elevation of - 46 meters. Note
Harman [31]

Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.

Step-by-step explanation:

Since in this case the "elevations" are negative because are under sea level, we can call it depth.

In this sense, we are given the "elevations" or depths of two places:

Bajo del Gualicho: -72 m

Lago Enriquillo: -46 m

Keeping in mind we are actually talking about the depth of this places, we can  say Bajo del Gualicho is deeper than Lago Enriquillo, and this is best expressed with the following inequality:

G>E

Where G represents Bajo del Gualicho and E represents Lago Enriquillo.

4 0
3 years ago
Read 2 more answers
Please help!!<br> Answer the question below
emmainna [20.7K]
I say the answer is c
7 0
3 years ago
Read 2 more answers
what is the domain of the function: {(1, 3); (3, 5); (5, 7); (7, 9)}? a. {1, 3, 5, 7, 9} b. {1, 3, 5, 7} c. {1, 9} d. {3, 5, 7,
Papessa [141]
B. 1, 3, 5, and 7 are x values. Domain is the x value.
6 0
3 years ago
Other questions:
  • 0.28444 as a fraction
    10·2 answers
  • Estimate the percentage of 53% of 59
    6·2 answers
  • Why do axioms exist in geometry
    8·1 answer
  • Two Step Equations: 4x +3 =-5
    10·2 answers
  • a map has a scale of 3cm : 18 km. If riverside &amp; Smithville are 54 km apart they are how far apart on the map?
    13·1 answer
  • Whats is 1/2 times 2/3
    11·2 answers
  • PLZ HELP!!!!!!!!! DUE TODAY
    14·2 answers
  • Help me plz will mark brainliest
    15·1 answer
  • Please help!!!!!! (fill the blank)
    15·2 answers
  • Find the surface area of the prism. 16cm 12cm 10cm 20cm
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!