Answer:
62 square units
Step-by-step explanation:
The area of a rectangular prism is the sum of the areas of its six faces. Opposite faces have the same area, so it is the sum of 3 pairs of faces. The area of one face of each pair is the product of the dimensions of that face. Those three areas are ...
• L·W
• W·H
• H·L
so the total surface area is ...
A = 2(LW +WH +HL)
For hand calculation, this can be simplified a bit to ...
A = 2(LW +H(L+W)) . . . . . requires one less multiplication
For your prism, the area is ...
A = 2(5·2 + 3(5+2)) = 2(10 +21) = 62 . . . square units
Answer:
um try to type it out bc that made no sense
Step-by-step explanation:
169.65mm
A=2πrh+2πr2=2·π·3·6+2·π·32≈169.646
Answer:
Since y is a solution of the homogeneus system then satisfies Ay=0.
Since z is a solution of the system Ax=b then satisfies Az=b.
Now, we will show that A(y+z)=b.
Observe that A(y+z)=Ay+Az by properties of the product of matrices.
By hypotesis Ay=0 and Az=b.
Then A(y+z)=Ay+Az=0+b=b.
Then A(y+z)=b, this show that y+z is a solution of the system Ax=b.
