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
A. 24 cm
B. 12 cm
C. 9 cm
D. 6 cm
1 answer:
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Answer:
7.48m (3s.f.)
Step-by-step explanation:
Let the missing side be x m.
Applying Pythagoras' Theorem,
x² +5²= 9²
x² +25= 81
x²= 81 -25 <em>(</em><em>-25</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x²= 56
x= 7.48 (3 s.f.)
∴ The missing side is 7.48 m (3s.f.)