Explanation:
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Answer:
A = 356 cm²
Explanation:
In this case, you need to use the formula to calculate the area of regular solid.
This is the following expression:
S = 2LH + 2LW + 2WH
Where:
L: length
W: Width
H: Height
But we do not know the height of the solid. We should calculate it with the given data first:
1424 = 2*28*H + 2*28*16 + 2*16*H
1424 = 56H + 896 + 32H
1424 - 896 = 88H
H = 528/88
<em>H = 6 cm</em>
Now that we know the height we can calculate the area of the other solid. In the other solid the length has been reduced to half, so I will assume that the Width and height is also reduced to half.
L2 = 14 cm
W2 = 8 cm
H2 = 3 cm
Replacing we have:
S = (2*14*3) + (2*14*8) + (2*8*3)
<u>S = 356 cm²</u>
<u>And this should be the total surface area, assuming the width and height is reduced to half too.</u>
If you don't assume it's reduced to half, then use the original values of Width and Height. Doing so, the Surface would be:
S = (2*14*6) + (2*14*16) + (2*6*16)
S = 808 cm²
