Find the height of a rectangular prism if the surface are is 288 square centimetres and the base has a length of 4 centimetres and a width of 9 centimetres.
Answers
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
13h=108
h=108/13
h=8.308 cm
Hope this helps!
The height of a rectangular prism is 8.3 cm.
What is Surface Area?The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.
We have,
Surface Area = 288 square cm
Base length = 4 cm and width = 9 cm
So, SA of rectangular prism
288 = 2(lw+ wh + lh)
144 = (36 + 9h + 4h)
13h = 144- 36
13h = 108
h = 8.30 cm
Learn more about Surface area here:
https://brainly.com/question/29298005
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Related Questions
Robert works at a car dealership. Each month, he receives a base salary of $1,854.00, plus a commission of $478.00 for each vehicle he sells. Which of the following equations could be used to determine Robert's total income each month? (Let x represent the number of cars sold by Robert and y represent his total monthly income.)
Answers
Answer:
y = 478x + 1,854
Step-by-step explanation:
what is surface area?
Answers
Hope I helped!
Terry is buying water. He needs 22 liters. A half-liter of water costs $2.11. A 200 -milliliter container of water costs $1.01. What should Terry buy so he gets 22 liters at the lowest price?
Answers
Answer: Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.
Step-by-step explanation:
Terry is buying water and needs 22 liters. A half-liter of water costs $2.11. Using this information, 22 litres will cost:
= 22 ÷ 1/2 × 2.11
= 22 × 2 × 2.11
= $92.84
Also, A 200 -milliliter container of water costs $1.01. Using this information, 22 litres will cost:
= 22 × 1.01 ÷ 200/1000
= 22 × 1.01 × 1000/200
= 22 × 1.01 × 5
= $111.1
Based on this information, Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.
Find the number, if...
3/8 of it is 24.
Answers
Answer:
64
Step-by-step explanation:
To get the answer, just perform the reverse operation of what the question said. In this case, you would want to multiply by the reciprocal, which is (8/3). So the answer is found by just solving 24*(8/3).
Answer:
The number is 64
Step-by-step explanation:
Let the number be x
3/8 of x = 24
x = 24 ÷ (3/8)
[tex]x=24*\frac{8}{3}\\\\x=8*8[/tex]
x = 64
Graph f(x) =
x and g(x) = -1/3x+2
on the same coordinate plane.
Answers
I hope that helps.
If 0.75A = 36, what would you do to solve
for A?
Answers
Answer:
you divide 36 by 0.75
Step-by-step explanation:
Answer:
Divide 36/.75
Step-by-step explanation:
You need to isolate A in order to solve the equation.
Brenda and Jasmine are selling cookie dough for a school fundraiser. Customers can buy packages of chocolate chip cookie dough and packages of double chocolate cookie dough. Brenda sold 6 packages of chocolate chip cookie dough and 4 packages of double chocolate cookie dough for a total of $86. Jasmine sold 3 packages of chocolate chip cookie dough and 5 packages of double chocolate cookie dough for a total of $85. What is the cost each of one package of chocolate chip cookie dough and one package of double chocolate cookie dough?
Answers
Answer:
one package = $5. / double package= $14
Step-by-step explanation:
Lets say x is a package and y a double package
6x + 4y = $86
2(3x + 5y = $85)
6x + 10y = $170
-6x -4y. -86
6y = $ 84
÷6. ÷6
y= $14
6x +4y = $86
6x + 4($14) = $86
6x + $56 = $86
-56. -56
6x = $30
÷6. ÷6
x = $5
Answer:
chocolate chip = 5
double chocolate chip=14
Step-by-step explanation:
c = chocolate chip
d = double chocolate chip
Brenda
6c+4d = 86
Jasmine
3c+ 5d = 85
Multiply the second equation by -2
-6c -10d = -170
Add this to the first equation
-6c -10d = -170
6c+4d = 86
--------------------
- 6d = -84
Divide by -6
-6d /-6 = -84/-6
d =14
Now we can find c
3c+ 5d = 85
3c+5*14 = 85
3c +70 = 85
Subtract 70
3c = 85-70
3c = 15
Divide by 3
3c/3 = 15/3
c = 5
translate (-4,5) up 3 units
then reflect the result over the y-axis
what are the coordinates of the final point?
Answers
Answer:
4,8
Step-by-step explanation:
reflecting over y axis is flipping to the other side. and you are going up 3 points so 5+3 is 8. and negative four turns to positive four
thomas has a square swimming pool at home. Each side is 18 m long. What is the area of the swimming pool
Answers
Answer:
324 m^2
Step-by-step explanation:
since it is a square, each side is 18 meters. to find the area, you multiply the length by the width. the answer is 324 m^2
correct answer gets brainliest
Answers
Answer:
V = 120 cm^3
Step-by-step explanation:
The volume is
V = BH where B is the base and h is the height
The base is the triangle
B = 1/2 (bh)
B = 1/2 6*4
B = 12
V = 12* 10
V = 120 cm^3
The volume of an oblique pyramid with a square base is V units3 and the height is h units.
An oblique pyramid with a square base has a volume of V units cubed and a height of h units.
Which expression represents the area of the base of the pyramid?
StartFraction 3 V Over h EndFraction units2
(3V – h) units2
(V – 3h) units2
StartFraction V Over 3 h EndFraction units2
Answers
Answer:
StartFraction 3 V Over h EndFraction units2Step-by-step explanation:
volume of an oblique square pyramid V = 1/3 * b * H where;
b is the base area of the pyramid
H is the height of the pyramid
To determine the expression that represents area of the base of the pyramid, we will make the variable 'b' the subject of the formula from
V = 1/3 bH
[tex]V=\frac{bH}{3}[/tex]
Cross multiplying we have;
[tex]3V = bH\\[/tex]
Dividing both sides by H we have;
[tex]\frac{3V}{H} = \frac{bH}{H} \\b = \frac{3V}{H}units^{2}[/tex]
This gives the correct expression for the base area of the pyramid
Answer:
A.
Step-by-step explanation:
I'm a surgery 9 out of 15 students named math as their favorite subject. Express this rate as a decimal
WILL LIST BRANLIEST
Answers
Answer:
0.6
Step-by-step explanation:
9÷15=0.6
A farmer sells 8.8 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market
Answers
Answer:
5.28 kg
Step-by-step explanation:
A farmer sells 8.8 kilograms of pears and apples at the farmer's market and 2/5 of this weight is pears.
Since a fraction is a part of a whole, 1, then, the fraction repressing the weight of the apples is:
1 - 2/5 = 3/5
Therefore, the weight of apples is/
3 / 5 * 8.8 = 5.28 kg
She sold 5.28kg of apples at the farmer's market.
what is 2+ 7 11/12 I need help on this one so please someone help me :)
Answers
Answer:
= 119/12
OR
= 9 11/12
Step-by-step explanation:
2 + 7 11/12
= 2 + 95/12
= 2 * 12 + 95/12
= 24 + 95/12
= 119/12 = 9 11/12
which one would you choose and please explain why
Answers
Given that P(A)=0.5 and P(A and B)=0.4, if A and B are independent events, what is the probability of event B?
0.2
0.1
0.8
0.9
Answers
Answer:
0.8
Step-by-step explanation:
If (1)=3 and f(n)=f(n-1)-1 then find the value of f(6)
Answers
Answer:
f(1) = 3
f(n) = f(n-1) - 1
Otherwise,
f(n) = f(1) - (n-1)
=> f(6) = 3 - 5 = -2
Hope this helps!
:)
Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Answers
Answer:
Step-by-step explanation:
im confuesd here
What is this answer?
Answers
Answer:
(4,-1)
Step-by-step explanation:
A circular rug has the radius of 4 feet. Which of the following is closest to the number of square inches the rug covers.
A. 55.26 ft2
B. 50.24 ft2
C. 29.7 ft2
D. 33.6 ft2
Answers
Answer:
B. 50.24ft
Step-by-step explanation:
A=(pie)r^2
A=3.14(4)^2
A=3.14 * 16
A=50.27
Closest to 50.24
6x + 14 = 7 - x
А.
В. ДІ
1
D. I
NA
Huh?
Answers
Answer:
x = -1
Step-by-step explanation:
6x + 14 = 7 - x
Add x to each side
6x+x + 14 = 7 - x+x
7x+14 = 7
Subtract 14 from each side
7x+14-14 = 7-14
7x = -7
7x/7 = -7/7
x = -1
12 more than m machines
Answers
Answer:
m+12
Step-by-step explanation:
m+12
2+2+18x15+1 what is the answer?
Answers
Answer:
Think its 275
Step-by-step explanation:
Answer:
Step-by-step explanation:
Need help with this question anybody there
Answers
Answer:
Read below
Step-by-step explanation:
I don't know your teacher's name but I know the answer to the other question.
Each additional mile will take a longer time of 2 minutes. Because the miles increase, the time would increase. If you think about it and you work as a pizza deliverer, the time should increase if the number of miles also increases. It's not magic.
If x∥y, m∠1=120°, and m∠7=45°, find the measure of each missing angle.
Answers
Answer:15
Step-by-step explanation:because we will 180-(120+45)
There is 25 coins in a bag, 5 of them are quarters. What is the probability of getting a quarter? Express as all four types of probability.
Answers
Answer:
Step-by-step explanation:
The ptobability of getting a quarter is 5/25 to the simpliest form is 1/5
The four probability is basic probability, compound event, independent and dependent event and the probability line.
I hope it'll help you much
Thank you for asking
if 2x+15= 30
then what is x?
Answers
Answer:
x = 15/2
Step-by-step explanation:
2x + 15 = 30
2x = 15
x = 15/2 or 7.5
Answer:
7.5
Step-by-step explanation:
2x+15=30
2x=30-15
2x=15
x=7.5
2(-n -3) - 7(5+2n)
Simplify to create an equivalent expression
Answers
[tex]\text{Simplify:}\\\\2(-n -3) - 7(5+2n)\\\\\text{Use the distributive property}\\\\-2n-6-35-14n\\\\\text{Combine like terms}\\\\-2n-6-35-14n\\\\-16n-6-35\\\\\boxed{-16n-41}[/tex]
In the diagram below, line MN is a diameter of the circle. Find angle XYZ, in degrees.
[asy]
unitsize(2 cm);
pair A, B, C, E, F, O;
O = (0,0);
E = dir(180);
F = dir(0);
A = dir(140);
C = dir(60);
B = extension(A,F,C,E);
draw(Circle((0,0),1));
draw(E--C--O--A--F--cycle);
label("$X$", A, NW);
dot("$Y$", B, N);
label("$Z$", C, NE);
label("$M$", E, W);
label("$N$", F, dir(0));
dot("$O$", O, S);
label("$80^\circ$", dir(30), NE);
label("$35^\circ$", dir(160), W);
[/asy]
Answers
By chasing the angles, angle XYZ works out to 133.5 degrees.
Erica has a small metal treasure box. The inside of the box is 3 inches wide, 6 inches long, and 4 inches deep. Erica wants to line the box with fabric to protect the items she puts in the box. How many square inches of fabric will she need? Show your work
Answers
Answer: she will need 108 square inches of fabric.
Step-by-step explanation:
To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as
Surface area = (2lw + 2lh + 2wh)
Where
l represents length of the box = 6 inches
w represents width of the box = 3 inches
h represents height of the box = 4 inches
Therefore,
Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²
