The polyhedron has:
6 Faces, 8 vertices and 12 edges <u>in</u><u> </u><u>total</u><u>.</u>
But
3 Faces, 7 vertices and 7 edges <u>are</u><u> </u><u>visible</u><u>.</u>
1) Use the distributive property to eliminate parentheses.
.. 3(6x) -3(5) -7(3x) -7(10) = 0
.. 18x -15 -21x -70 = 0 . . . . . . finish multiplying terms
.. -3x -85 = 0 . . . . . . . . . . . . . collect like terms
.. -85 = 3x . . . . . . . . . . . . . . . .add 3x
.. -85/3 = x . . . . . . . . . . . . . . .divide by 3
.. -28 1/3 = x . . . . . . . . . . . . . write as mixed number
2) 5 -(6 +9x) = 9 -(4x -1)
.. 5 -6 -9x = 9 -4x +1 . . . . . eliminate parentheses using the distributive property
.. -1 -9x = 10 -4x . . . . . . . . . collect like terms
.. -1 = 10 +5x . . . . . . . . . . . . add 9x
.. -11 = 5x . . . . . . . . . . . . . . . subtract 10
.. -11/5 = x . . . . . . . . . . . . . . divide by 5
.. -2 1/5 = x . . . . . . . . . . . . . write as mixed number
The LCM of 15 and 6 is 30
5x6
12x2
Answer:
98 cm²
Step-by-step explanation:
Lateral surface area = surface area of the sides ONLY of the object
⇒ lateral SA = B + C + D = 35 + 28 + 35 = 98 cm²
Split the shape in to two this is the rectangular side.
15+6=21
21×7=147
147×4=588in
square shape
6+6=12
12×12=144
144×4=576in
then add the answers together
588+576=1164in
1164 is how many more inches greater
