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
fiasKO [112]
3 years ago
10

The total surface area of a square based prism is 96

Mathematics
1 answer:
irga5000 [103]3 years ago
8 0

Option C

<u>ANSWER: </u>

The height of the prism is 4 cm, so option C is correct.

<u>SOLUTION: </u>

Given, the total surface area of a square based prism is 96 cm2.  

The base is 4.0 cm × 4.0 cm.

Let, the height of the prism be h.

We know that, square based prism will have two square faces and four rectangular faces.

Two square faces will have same dimensions and four rectangular faces will have same area.

Here those dimensions are 4cm and 4cm.

So, area of a square face = 4 x 4

= 16 cm^2

Now, area of one rectangular face = height x width

= h x 4

= 4h

Now, we know that total surface area  = 96 cm^2

2 x square area + 4 x area of rectangular face = 96

2 x 16 + 4 x 4h = 96

32 + 16h = 96

16(2 + h) = 96

2 + h = 6

h = 4.

Hence, the height of the prism is 4 cm, so third option is correct.

You might be interested in
The difference of 5 times the cube of x cubed and<br> the quotient of 4 times x and 3
Anvisha [2.4K]

Answer:

I don't know what you are looking for, but I am going with (15x^3 - 4x)/3

Step-by-step explanation:

5x^3 - 4x/3

5x^3/1 - 4x/3

15x^3/3 - 4x/3

(15x^3 - 4x)/3

3 0
3 years ago
in a sample of 10 cards, 4 are red and 6 are blue. if 2 cards are selected at random from the sample, one at a time without repl
const2013 [10]

It May Be..... Likely

5 0
3 years ago
Read 2 more answers
Rita can make 8 cakes for a bakery each day. So far, she has orders for more than 32 cakes. Right now, Rita needs more than four
Andru [333]

Answer:

x > 4

Step-by-step explanation:

Calling x the number of days Rita needs to bake the total amount of cakes, then inequality is x*8 > 32. Because she has orders for more than 32 cakes and can make 8 cakes per day. Dividing by 8 every side of the inequality gives: x > 4. Graph of the solution is attached (notice that 4 is not included).

5 0
3 years ago
I also need help with this question: One day at 3:00 a.m., the temperature was -13F in Kodiak, Alaska. At 10:00 a.m., the temper
insens350 [35]
Over 7 hours the temperature changed 35 degrees
35/7 gives you 5 degrees per hour
6 0
3 years ago
Read 2 more answers
What is 2&amp;2/3 divided by 4?
aliya0001 [1]
2 2/3 Divided by 4 would be 2/3 because 2 2/3 equals 8/3 and 2 goes into 8 4 times.
8 0
3 years ago
Read 2 more answers
Other questions:
  • If (x+3)+3(x-1)=20, what is the value of x
    13·1 answer
  • 5. Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show your work. a. 3in, 4in, 5 in
    8·2 answers
  • Lauren has a mask collection of 160 masks. She keeps 88 of the masks on her
    10·1 answer
  • 1.<br>If I have £400 and I give 15% of the total to charity, how much does the charity<br>receive?​
    11·1 answer
  • Multiply. (2.5 times 10^-8) (9 times 10^-10)
    6·1 answer
  • 0.64 as a fraction in lowest terms
    5·2 answers
  • How do I solve this I've been on this question for 3 weeks!!
    15·1 answer
  • Bivtches really out here talking about ill give you brainliest like its some big trophy PLS
    8·1 answer
  • The lengths of two sides of a triangle are 19 cm and 26
    6·2 answers
  • How do you square a scale factor?<br> DONT COPY OFF GOOGLLE
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!