Consider the same rectangle of the preceding 8 units. Squares of x by x units are cut out of each corner, and then the sides are
1 answer:
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Answer:
by <u>AAS</u>
Step-by-step explanation:
According to the following two triangles, and
are congruent by <u>Angle-Angle-Side</u> (AAS), because there are two angles shown and share a side, which is in the middle between triangles.
The surface area of the geometric shape is B. 840 cm².
Step-by-step explanation:
Step 1:
The given figure is made up of three rectangles and two triangles.
The surface area of the geometric shape is given by summing the individual surface areas.
The geometric shape's surface area = The sum of the individual surface areas.
Step 2:
The surface area of the rectangles is the multiplication of its length and width.
The surface area of the rectangle with length z and width x .
The surface area of the rectangle with length y and width x .
The surface area of the rectangle with length x and width x .
Step 3:
The area of a triangle is half the product of its base length and height.
The surface area of a triangle with base y and height x.
They are two similar triangles so their areas are equal
Step 4:
The geometric shape's surface area .
So the surface area is option B. 840 cm².
Answer:
Step-by-step explanation:
let side of cube=x cm
volume=x³ cm³
again side=(x-3) cm
volume=(x-3)³ cm³
x³-(x-3)³=1385
(a³-b³)=(a-b)(a²+ab+b²)
(x-x+3){x²+x(x-3)+(x-3)²}=1385
3(x^2+x²-3x+x²-6x+9)=1385
3(3x²-9x+9)=1385
9x²-27x+27=1385
9x²-27x+27-1385=0
9x²-27x-1358=0