the total surface of rectangular solid is 130cm^2 .if the solid is 7cm long nd 5cmwide. calculate the height
To calculate the height of the rectangular solid, we need to use the formula for the total surface area of a rectangular solid.
Total surface area of a rectangular solid = 2 * (length * width + length * height + width * height)
Given:
Total surface area of the rectangular solid = 130 cm^2
Length of the solid = 7 cm
Width of the solid = 5 cm
Substituting the given values into the formula, we have:
130 = 2 * (7 * 5 + 7 * height + 5 * height)
Simplifying further:
130 = 2 * (35 + 7 * height + 5 * height)
130 = 70 + 12 * height
Rearranging the equation:
12 * height = 130 - 70
12 * height = 60
Dividing both sides by 12:
height = 60 / 12
height = 5 cm
Therefore, the height of the rectangular solid is 5 cm.
Answers
well, you know that
2(7*5 + 7h + 5h) = 130 cm^2
h = ______ cm