Given:
The value of the solid's surface area is equal to the value of the solid's volume.
Length(l) = 9 units
width(b) = 4 units
Height(h) = x units
To find:
The value of x.
Solution:
Solid's surface area is
Volume of solid is
Solid's surface area = Volume of solid
Divide both sides by 10.
Therefore, the value of x is 7.2.
.........................
Answer:
21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
AD = AB²/AC = 10²/25
AD = 4
Then the segment DC is ...
DC = AC -AD = 25 -4
DC = 21 . . . . . centimeters
