Page 123 - Math Course 1 (Book 2)

Lateral and Surface Area of Prisms and Cylinders

Real World Example
Surface Area of Cylinder Style
CANDY
Lateral Area Area of Bases A candy company is deciding between two types
of packaging for its gumballs. The f rst option is
S = L + 2B a rectangular prism that is 6 inches by 4 inches by
1.5 inches. The second option is a cylinder having
= 2πrh + 2πr 2 a radius of 2 inches and a height of 5 inches. Which
= 2π(3)(7.5) + 2π(3) 2 option requires less packaging?

= 197.9 in 2 A. The rectangular prism requires
less packaging.
Since 197.9 in < 263 in , the
2
2
cylinder uses less
Answer B. The cylinder requires less
packaging. packaging.
C. Both options require the same
Your Turn! amount of pack aging.

D. cannot be determined
Surface Area of a Cylinder

Find the lateral area and the surface area of the
cylinder. Round to the nearest tenth. Answer

2
A. lateral area, 1082.0 in ;
surface area, 1504.4 in 2

2
B. lateral area, 1082.0 in ;
surface area, 3852.9 in 2
2;
C. lateral area, 2163.9 in
surface area, 2586.4 in 2

2
D. lateral area, 4436.1 in ;
surface area, 4858.6 in 2
Answer

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