A right prism has square bases with edges that are three times as long as the lateral edges. The prism's total area is 750 m squared. Find the volume.

Answers

Answer 1

Answer: $a=3h\ \ \ and\ \ \ A=2\cdot a^2+4\cdot a\cdot h\n\nA=2\cdot(3h)^3+4\cdot 3h\cdot h=2\cdot 9h^2+12h^2=30h^2\n\nA=750\ m^2\n\n\ \ \ \Rightarrow\ \ \ 30h^2=750\ /:30\ \ \ \Rightarrow\ \ \ h^2=25\ \ \ \Rightarrow\ \ \ h=5\ \ \ \Rightarrow\ \ \ a=15\n\nV=a^2\cdot h=15^2\cdot 5=225\cdot 5=1125\n\nAns.\ Volume=1125\ m^3.$

Related Questions

A gallon of paint costs $32.50 and its label says it covers about 350 square feet. What is the cost of the paint per square foot?
the area of a rectangle is given by 6x²+19x+15. factor to find binomial that represent the length and width of the rectangle.
Solve the proportion x/5=16/20
The perimeter of a rectangle is 30 centimeters. The width of the rectangle is 6 centimeters. How long is the rectangle?
six girls and four boys have entered the science fair. first, second, and third place awards are to be given out. what is the probability that exactly one girl and two boys will recite awards? express your answer as a percent

Solve for x: |x − 2| + 10 = 12 x = 0 and x = 4
x = −4 and x = 0
x = −20 and x = 4
No solution

Answers

✯Let's solve this equation step-by-step!
✯is the question you've asked us today:
|x − 2| + 10 = 12

✯Add -10 to both sides:
|x−2|+10+−10=12+−10

✯Solve Absolute Value:
|x−2|=2

✯We know either:
x−2=2 or x−2=−2

(Possibility 1) x−2=2

(Add 2 to both sides) x−2+2=2+2

x=4

(Possibility 2) x−2=−2

(Add 2 to both sides) x−2+2=−2+2

x=0

✯So since we have gotten x=4 and x=0 you answer shall be:

B. x=4 and x=0

✯I hope this helps!✯

first you can add -10 on both sides so you gonna have :
l x - 2 l = 12 - 10 ⇒ l x - 2 l = 2 now because of the absolute value you should say :
1) x - 2 = 2 ⇒ x = 2 + 2 ⇒ x = 4

2) x- 2 = -2 ⇒ x = -2 +2 ⇒ x = 0
so the answer is first one :)))
i hope this is helpful
have a nice day

How much hydrochloric acid is in a 60 milliliter bottle that is marked 80% hydrochloric acid

Answers

Work:

80% = 0.80

0.80 × 60 = 48

Answer:

48 milliliters

During the first week of the year, Angelina's dad give her $10 and says that he will give her $10 more each week for the rest of the year. At the end of the year, how much money will Angelina receive from her dad? (Hint : 1 year = 52 weeks) Make a table to show the pattern, and explain your answer.

Answers

The amount Angelina will have at the end of the year is $520.

What are Mathematical operators?

A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:

Operands: Operands are the numbers that an operator uses. The terms that are given to the operands vary according to the kind of operation.

Given money received by Angelina in the first week = $10

and money she will get each week for rest of the year = $10

amount in first week = $10

amount in second week = $10 + $10 = $20

amount in third week = $20 + $10 = $30

amount is week 52 = 52 x $10 = $520

table for the week and money

week 1 2 3 4 5 6 ........ 52

money $10 $20 $30 $40 $50 $60 ....... $520

Hence the amount after 1 year will be $520.

Learn more about Mathematical operators;

brainly.com/question/8959976

#SPJ3

$520. for the table just make 2 columns. one side is 1-52 for each week of the year and the other side will be the total amount for that week. ex: week 1=$10, and week 2=$20, etc.it should be self explanatory by that point.

4 If // : = 4 × 1/1/1 5 5 12 . then 5 x 75

Answers

Answer:

375

Step-by-step explanation:

Multiply

75 by 5 375x

Explain how you can use a number line to show that 5/8 is greater than 3/8

Answers

you draw a number line and start at 0 and put dash marks on 1/8,2/8,3/8,4/8 and so on

You can draw an number line that goes from 0-8/8

A circular skating rink has a radius of 40 feet. Which expression can be used to find the circumference of the skating rink, in feet?

Answers

The expression used is the circumference of a circle which is 80π

What are the circumference and diameter of a circle?

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, A circular skating rink has a radius of 40 feet.

∴ The expression can be used to find the circumference of the

skating rink is 2π(40) = 80π feet.

learn more about circles here :

brainly.com/question/11833983

#SPJ2

Circumference of a circle = $2 \pi r$

They are all multiplied by each other
r = radius
we know our radius is 40
and... $\pi$ = 3.14

so we would use this expression
3.14 x 40 x 2

As a added bonus ill solve it for you :P
3.14 x 40 x 2 = 251.2
The circumference of this ice skating rink is 251.2 feet

Other Questions

Four consecutive integers that add up to 314

Find the zeros of the function f(x)=x2+7x+12

Which expression can be used to convert 22 Australian dollars to US dollars?Assume 1.2 Australian dollars equals 1 US dollar.

a miner found three pieces of gold in an under ground mine in 1970 (in 1970 one ounce of gold cost 36.02$). The pieces weighed .080 ounce, .122 ounce, and .096 ounce. Find the total value of gold when it was mined.