The total surface area of a rectangular solid is 130cm, if the solid is 7cm long and 5cm wide. Calculate the height
2(7+5)h+2*7*5=130
To calculate the height of the rectangular solid, we need to use the formula for the surface area of a rectangular solid. The formula is:
Surface Area = 2lw + 2lh + 2wh
Given:
Surface Area = 130 cm²
Length (l) = 7 cm
Width (w) = 5 cm
Since we need to calculate the height (h), we can rearrange the formula to isolate "h" and solve for it.
2lw + 2lh + 2wh = Surface Area
2(7)(5) + 2(7)h + 2(5)h = 130
70 + 14h + 10h = 130
Combining like terms:
24h + 70 = 130
Subtracting 70 from both sides:
24h = 60
Dividing both sides by 24:
h = 2.5
Therefore, the height of the rectangular solid is 2.5 cm.
To calculate the height of the rectangular solid, we need to know its total surface area and the lengths of its other two sides.
The total surface area of a rectangular solid is given by the formula:
Surface Area = 2lw + 2lh + 2wh
where:
l = length
w = width
h = height
In this case, we are given that the total surface area is 130 cm and the length (l) is 7 cm, and the width (w) is 5 cm. Plugging these values into the formula, we can solve for the height (h).
130 cm = 2(7 cm)(5 cm) + 2(7 cm)(h) + 2(5 cm)(h)
Simplifying the equation:
130 cm = 70 cm + 14 cmh + 10 cmh
Combine like terms:
130 cm = 70 cm + 24 cmh
Subtract 70 cm from both sides:
60 cm = 24 cmh
Divide both sides by 24 cm:
60 cm / 24 cm = h
Simplifying:
2.5 cm = h
Therefore, the height of the rectangular solid is 2.5 cm.