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
lozanna [386]
4 years ago
6

A rectangular prism has a volume of 16 cm3 and a total surface area of 40 cm2. A similar prism has length 10 in., width 5 in., a

nd height 5 in. What are the dimensions of the original prism? Enter your answers in the boxes.
Length =________ cm
Width =_________ cm
Height =_________cm
Mathematics
1 answer:
Kruka [31]4 years ago
3 0
We know that
[volume of the similar prism]=10*5*5----> 250 in³
volume original prism=16 cm³
 1 in³---------> 16.3871 cm³
X----------> 16
x=16/16.3871------> x=0.9764 in³

[volume of the similar prism]=[scale factor]³*[volume original prism]
[scale factor]³=[volume of the similar prism]/[volume original prism]
[scale factor]³=[250]/[0.9764]------> 256.05
scale factor=∛256.05-------> 6.35

<span>the dimensions of the original prism are
1 in-----> 2.54 cm

</span>length 10 in/6.35-------> 1.57 in*2.54 cm/in-----> 4 cm
<span>width 5 in/6.35---------> 0.79 in*2.54 cm/in-----> 2 cm
</span><span>height 5 in/6.35--------> 0.79 in*2.54 cm/in----> 2 cm</span>
You might be interested in
A snail is at the bottom of a well. In the first 10 minutes, the snail climbs 23 7/12 inches. In the next 10 minutes, it clims 1
Alekssandra [29.7K]
I believe that the snail would be 43 5/12 inches away from the bottom after 20 minutes.
4 0
3 years ago
Read 2 more answers
Circle assignment! THANKS so much its worth so much of my grade
kogti [31]

Answer:

1. B) Figure B.

2. C) Figure C.

3. D) Figure D.

4. C) Figure C.

Step-by-step explanation:

Given: Radius of Circle A= 4

           Radius of Circle B= 5

           Radius of circle C= 6

           Radius of circle D= 7

Now, finding circumference and area of all the circle.

We know, circumference of circle= 2\pi r

Area of circle= \pi r^{2}

Where, r= radius of circle and π = 3.14

First, solving for figure A

Circumference= 2\times 3.14\times 4= 25.12\ cm

Area= 3.14\times 4^{2} = 50.24\ cm^{2}

Solving for Figure B

Circumference= 2\times 3.14\times 6= 31.4\ cm

Area= 3.14\times 5^{2} = 78.5\ cm^{2}

Solving for Figure C

Circumference= 2\times 3.14\times 6= 37.68\ cm

Area= 3.14\times 6^{2} = 113.04\ cm^{2}

Solving for Figure D

Circumference= 2\times 3.14\times 7= 43.96\ cm

Area= 3.14\times 7^{2} = 153.86\ cm^{2}

∴ 1. Answer is Figure B.

   2. Answer is figure C.

   3. Answer is Figure D

   4. Answer is Figure C.

6 0
3 years ago
the value of a collectible coin can be represented by the equation y=2x+9.74 where x represents the number of years that consuel
Serggg [28]

Answer:

The answer is b ($9.74)

Step-by-step explanation:

I got it right (:

4 0
3 years ago
In the table, each value of y varies directly with the corresponding value of x. Which equation represents the values in the tab
Alex777 [14]
Your equation should be
y=2.2x
6 0
3 years ago
Veronica Foaley sells evening jackets sewn with metallic threads and beads. She wants to set a price of $600 for a jacket. The m
boyakko [2]
The most she can pay for the jacket is $375 (=600/(100%+60%)) assuming this is the cost of the jacket before it sewn with metallic threads and beads. A markup is a difference between the production cost and the selling price in order to cover the additional cost related to the product. Based on the data, she wants to keep the 60% for covering the cost.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Explain how you decide wether to multiply or divide by 3 if you need to convert yards to feet.
    8·1 answer
  • Find a solution to the following system of equations. –5x + 2y = 9 3x + 5y = 7
    12·2 answers
  • PLEASE HELP!! URGENT
    5·1 answer
  • What does this equal? 5x+4=7x+2
    6·2 answers
  • #17 please help me solve this
    8·1 answer
  • Could someone help me solve this?
    13·1 answer
  • 72÷6374<br><img src="https://tex.z-dn.net/?f=72%20%5Cdiv%206374" id="TexFormula1" title="72 \div 6374" alt="72 \div 6374" align=
    9·1 answer
  • 1. What does PEMDAS stand for?<br> P:<br> E:<br> M:<br> D:<br> A:<br> S:
    5·2 answers
  • En tu cuaderno realiza la conversión de los siguientes decimales a fracciones.<br>a) 0.250 :<br>​
    13·2 answers
  • Ari is recording the number of laps he walks around the track each day, On Day 1, he walks 8 laps. On Day 2, his number of laps
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!