MATHEMATICS HIGH SCHOOL

Which shows the dimensions of two rectangular prisms that have volumes of72cm3
but different surface areas?

A.
6 cm by 3 cm by 4 cm;
12 cm by 2 cm by 3 cm

B.
2 cm by 4 cm by 9 cm;
9 cm by 4 cm by 2 cm

C.
3 cm by 3 cm by 8 cm;
2 cm by 6 cm by 8 cm

D.
6 cm by 3 cm by 4 cm;
9 cm by 4 cm by 3 cm

Answers

Answer 1
Answer:

The dimension of the rectangular prism with different surface areas will be 2 cm by 4 cm by 9 cm. Then the correct option is B.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of the rectangular prism is 72 cubic cm.

Then the factor of the number 72 will be

72 = 2 x 2 x 2 x 3 x 3

Then the dimension of the rectangular prism will be

L x W x H = V

L x W x H = 72

L x W x H = 2 x 2 x 2 x 3 x 3

L x W x H = 2 x 4 x 9

The dimension of the rectangular prism with different surface areas will be 2 cm by 4 cm by 9 cm. Then the correct option is B.

More about the volume of the rectangular prism link is given below.

brainly.com/question/21334693

#SPJ6
Answer 2
Answer: The answer is B 
volume of rectangular prism = (area* height )  
so 2 * 4 * 9 = 72 cm3 
   9* 4 * 2 = 72 cm3 
but they have differant surface area 

Related Questions

Determine the volume of the picture below. Please help
3.9 point is equivalent to how many tenths?
-4^2=? PLEASE ANSWER QUICKLY!!!!
A sports store donates basketballs and soccer balls to the boys and girls club. The ratio of basketballs to soccer balls is 7 : 6. The store donates 24 soccer balls. How many basketballs does the store donate? Show work pls
Transform the equation x-3y=-15 to express it in slope-intercept form

what is 7/10 minus 1/2


Answers

7/10\ minus\ 1/2= (7)/(10) - (1)/(2) = (7)/(10) - (1\cdot5)/(2\cdot5)=(7)/(10) - (5)/(10) =(2)/(10)=(1)/(5)
(7)/(10)-(1)/(2)=(7)/(10)-(1\cdot5)/(2\cdot5)=(7)/(10)-(5)/(10)=(2)/(10)=(2:2)/(10:2)=(1)/(5)\n\n\n------------------------------\n\n(7)/(10)-(1)/(2)=0.7-0.5=0.2

Which of the following have an odd sum? Select all that apply. Select all that apply. odd number ++plus even number even number ++plus even number 7 + 47+47, plus, 4 11 + 311+3

Answers

lets go one at the time:
- odd number ++plus even number
odd number

- even number ++plus even numbereven number 

7 + 47 + 47 plus, 4  = 101 + 4 = 105that is odd

11 + 311 + 3 = 325
odd

If we divide the polynomial x4 + 4x3 + 2x2 + x + 4 by x2 + 3x, what will be the remainder?

Answers

Hello,

x^4+4x^3+2x²+x+4=(x²+3x)*(x²+x-1) + 4x+4

Remainder=4x+4

A) For ΔJKL use the Triangle Proportionality Theorem to solve for x. b) After you have solved for x, what is the Perimeter of ΔJKL?


(SHOW ALL YOUR WORK)

Answers

Answer:

Part a) The value of x is 10

Part b) The perimeter of triangle JKL is 79\ units

Step-by-step explanation:

Part a) Find the value of x

we know that

The Triangle Proportionality Theorem, states that if a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally

(3x-5)/(3x-5+10)=(28-8)/(28)\n \n(3x-5)/(3x+5)=(20)/(28) \n \n(3x-5)(28)=(3x+5)(20) \n \n84x-140=60x+100\n \n84x-60x=140+100\n \n24x=240\n \nx=10

Part b) we know that

The perimeter of triangle JKL is equal to

P=JK+KL+JL

substitute the values

P=(3x+5)+28+16=3x+49

substitute the value of x

P=3(10)+49=79\ units

Identify the independent and dependent variables. The number of campers decreased, so fewer counselors are needed.



A.
The independent variable is number of counselors and the dependant variable is number of campers.


B.
The independent variable is number of campers and the dependant variable is number of counselors.

Answers

The numbers of campus decreased can't be controlled by other people so it's independent.

Therefore, your answer is B. The independent variable is number of campers and the dependent variable is number of counselors.

(X+16) (4X-6)

X=

4X=

Answers

Answer:x=0

Step-by-step explanation:Distribute

Distribute

Distribute

Combine like terms

Move terms to the left side

Combine like terms

Common factor

Find one factor
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