Answer: Prism B is 6 inches taller than Prism A.
Step-by-step explanation:
To find the height difference between Prism B and Prism A, we need to compare their dimensions and surface areas.
1. Start by calculating the surface areas of Prism A and Prism B. The surface area of a rectangular prism is given by the formula \(2lw + 2lh + 2wh\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.
For Prism A:
Surface area of Prism A = \(2(6 \times 2) + 2(6 \times h) + 2(2 \times h)\)
= \(12 + 12h + 4h\)
= \(12 + 16h\)
For Prism B:
Surface area of Prism B = \(2(4 \times 3) + 2(4 \times h) + 2(3 \times h)\)
= \(24 + 8h + 6h\)
= \(24 + 14h\)
2. Since the two prisms have the same surface area, we can set their surface area equations equal to each other and solve for \(h\):
\(12 + 16h = 24 + 14h\)
3. Simplify the equation:
\(16h - 14h = 24 - 12\)
\(2h = 12\)
4. Solve for \(h\) by dividing both sides of the equation by 2:
\(h = \frac{12}{2}\)
\(h = 6\)
Therefore, Prism B is 6 inches taller than Prism A.
To find the difference in height between Prism A and Prism B, we compare their base areas and calculate their respective heights based on the same surface area.
Prism A has a length of 6 inches and a width of 2 inches, while Prism B has a length of 4 inches and a width of 3 inches. To compare their heights, we need to find their base areas first.
The base area of Prism A is 6 x 2 = 12 square inches, and the base area of Prism B is 4 x 3 = 12 square inches as well. Since they have the same surface area, their heights must be different.
To find the difference in height, we divide the surface area by the base area to get the height. For Prism A, 12 / 12 = 1 inch. For Prism B, 12 / 12 = 1 inch as well. Therefore, Prism B is 1 inch taller than Prism A.
#SPJ2
yards, that a team moves on its first five plays are 2,-1,4,3, and -5. A positive
number indicates moving the ball forward, and a negative number indicates
moving the ball backward.
Which number in the list is the greatest?
Answer:
The answer is -5
Step-by-step explanation:
JUST DO THE WORK BY YOURSELF DUMMY!!!!!
Answer:
which number in the list is greater its 4
Step-by-step explanation:
i used my brain cause im gifted
Answer:
1/45
Step-by-step explanation:
account, how much did Jane have in the account before she took out any money?
Step 1: If x represents the variable in the word problem above, explain what the variable should
represent.
Step 2: Write an equation to model the situation.
Step 3: Solve the equation and write your answer in sentence form. Show your work.
Answer:
x = the amount of money Jane had before she took out any
x - 135 = 650
x = 785
Step-by-step explanation:
Let x = the amount of money Jane had before she took out any
Set up the equation
x - 135 = 650
To solve the equation, we must add 135 on both sides to cancel the -135 on the left side of the equal sign.
x - 135 = 650
x = 785
I hope this helps and please mark me as brainliest!
Answer:
n=48
Step-by-step explanation:
that Tara is going to cover with wallpaper.
24 feet
(15 feet
What is the least amount of wall paper Tara will need to
cover the entire area of the wall?
A 39 square feet
C 350 square feet
B 78 square feet
D 360 square feet
Answer:
D. 360 square feet
Step-by-step explanation:
The area of Tara's wall is 24 times 15 which equals 360 sq. feet. This means she would need the same amount of wallpaper to cover it.