A rectangular prism has a height of 15 centimeters and a width of 6 centimeters. The surface area of the prism is 684 square cen
timeters. What is the length of the prism?
A. 24 cm
B. 12 cm
C. 9 cm
D. 6 cm
1 answer:
Answer:
Step-by-step explanation:
Let the length be L
Formula
SA = 2Lw + 2Lh + 2wh
Givens
h = 15 cm
w = 6 cm
L = ?
SA = 684 cm^2
Solution
Substitue what you know into the given formula
2*6*L + 2*15*L + 2 * 6 * 15 = 684 Combine
12*L + 30*L + 180 = 684 Combine again
42L + 180 = 684 Subtract 180 from both sides.
42L +180 -180 = 684 - 180
42L = 504 Divide by 42
Answer: L = 12
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