To solve, lets find the volumes of all of the options...
V=l*w*h
A.
6*3*4=72cm³
12*2*3=72cm³
B.
2*4*9=72cm³
9*4*2=72cm³
C.
3*3*8=72cm³
2*6*8=96cm³
D.
6*3*4=72cm³
9*4*3=108cm³
We can conclude that C & D aren't the answer, since they contain prisms that don't have a volume of 72cm³.
Now lets solve for the surface area of A and B...
A.
sA=2(wh+lw+lh)=2(6*3+4*6+4*3)=2(18+24+12)=2(54)=108cm²
sA=2(wh+lw+lh)=2(12*2+3*12+3*2)=2(24+36+6)=2(56)=112cm²
B.
sA=2(wh+lw+lh)=2(2*4+9*2+9*4)=2(8+18+36)=2(62)=124cm²
sA=2(wh+lw+lh)=2(9*4+2*9+2*4)=2(36+18+8)=2(62)=124cm²
A is the only option with both similar volumes of 72cm³ and different surface areas...
Answer=A
Answer:
shortest side = 3 in
Step-by-step explanation:
Sum the 3 sides and equate to 13, that is
x - 5 + 6 + 
= 13, that is
x + 1 + = 13 ( subtract 1 from both sides )
x + = 12 ( multiply through by 2 to clear the fraction )
2x + x = 24
3x = 24 ( divide both sides by 3 )
x = 8
Thus
x - 5 = 8 - 5 = 3 and = 
= 4 , then
The shortest side is x - 5 = 3 in
Let set A = {1,3,5,7} and set B = {1,2,3,4,5,6,7,8}
Semenov [28]
Step-by-step explanation:
A elements lies on B.............
A scalene triangle can be identified by the inequality of the lengths of its sides and size of its angles.
51.28
———- = 112
———
100
X
X=
X=$45.79
