Answer:
Width = 4 cm.
Step-by-step explanation:
Given : surface area is 208 square centimeters? The height is 8cm and the length is 6cm.
To find : Find the width of the rectangular prism.
Solution : We have given
Surface area of rectangular prism = 208 square cm.
Height = 8 cm .
Length = 6 cm
Width = W
Surface area of rectangular prism = 2 ( length * width + width * height + length* height).
Plugging all the values,
208 = 2 ( 6 * W + W * 8 + 6 * 8).
208 = 2 ( 6W + 8W + 48).
208 = 2 ( 14W + 48).
On dividing both sides by 2
104 = 14 W + 48.
On subtracting both sides by 48
104 - 48 = 14 W.
56 = 14 W.
On dividing both sides byy 14
W = 4 cm
Therefore, Width = 4 cm.
