Applying the volume of a rectangular prism formula length * width * height = volume, we noted that 9, 9, and j corresponded to the length, width, and height of the rectangular prism and made it equivalent to the volume. Doing so, we solved for j. Now let us solve for the surface area;

$Area of 1st Face = 5 * 9 = 45,\\Area of 2nd Face = 9 * 9 = 81,\\Area of 3rd Face = 5 * 9 = 45,\\\\Surface Area = 2 * ( 45 ) + 2 * ( 81 ) + 2 * ( 45 ) = 342 square meters$

Opposite faces are equal in terms of their area, so by finding the area of 3 faces, we multiply their area each by 2 to result in the total surface area!

8 0

3 years ago

If mUTV < mUTS < mSTR, which statement is true? VU < US < SR by the hinge theorem. VU = US = SR by the hinge theorem

Ymorist [56]

Answer:

True statement is VU < US < SR by the hinge theorem.

Step-by-step explanation:

It is given that ∠UTV < ∠UTS < ∠STR.

According to Hinge theorem "if 2 sides of two triangles are congruent and the included angle of the 1st triangle is larger than the included angle of the 2nd triangle, then the third side of the 1st triangle is longer than the third side of the 2nd triangle."

since ∠UTV < ∠UTS < ∠STR.

So, by hinge theorem sides opposite to these angle are also is this inequality order,

So, according to fig. and by using hinge theorem, we can say that

VU < US < SR.

8 0

3 years ago

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