Question 948504
The surface area of each of two faces of the cuboid are A=L*W
A=L*W=5cm*10cm=50 sq cm
Since there are two this size (top and bottom), total area=2A=100 sq cm
The area of the sides is 280 sq cm- 100 sq cm=180 sq cm
The two ends of the cuboid that rise from the width each have area=(5cm)(h) and there are two of them: 
(2)( 5 cm)(h)=(10cm)(h)
The two sides of the cuboid that rise from the length each have area=(10cm)(h) and there are two of them: 
(2)(10 cm)(h)=(20cm)(h)
The sum of the area of the sides and ends:
(10 cm)(h)+(20 cm)(h)=(30 cm)h (30 cm is also the perimeter of the base)
This equals the remaining 180 sq cm of surface area:
(30 cm)h=180 sq cm Divide each side by 30 cm.
h=6 cm ANSWER: The height of the cuboid is 6 cm.