The Total Surface Area Of Rectangular Solid Is 4.65cm. If The Solid Is 7cm Long And 5cm Wide, Calculate The Height.
SArea=2(LW + WH + LH)
SArea/2= LW + H(W+L)
H= (Sarea/2 -LW)/(W+L)
I get 2.72cm high. Check that
Given: L = 7cm, W = 5cm, As = 4.65m = 465cm,
As = 2W*h + 2L*h + 2W*L = 465,
10*h + 14*h + 10*7 = 465,
24h + 70 = 465,
h = 16.5 cm.
NOTE: 4.65 cm-surface is much to small for the given values L and W.
So I used 4.65 m. = 465 cm.
To calculate the height of a rectangular solid, we need to use the formula for the total surface area of a rectangular solid. The formula is:
Total Surface Area = 2(lw + lh + wh)
We are given that the total surface area is 4.65 cm, the length is 7 cm, and the width is 5 cm. We need to find the height.
Substituting the given values into the formula, we have:
4.65 cm = 2(7 cm * 5 cm + 7 cm * h + 5 cm * h)
Now, let's simplify the equation:
4.65 cm = 2(35 cm^2 + 7h cm + 5h cm)
4.65 cm = 70 cm^2 + 14h cm + 10h cm
4.65 cm = 70 cm^2 + 24h cm
To isolate the height term, let's move the other terms to the right side of the equation:
4.65 cm - 70 cm^2 = 24h cm
Combine like terms:
-65.35 cm = 24h cm
Now, let's solve for h:
h = (-65.35 cm) / 24 cm
h ≈ -2.72 cm
The negative value for the height does not make sense in this context, so we can disregard it. Therefore, in this case, the height of the rectangular solid is approximately 2.72 cm.