Page 121 - Math Course 1 (Book 2)

Lateral and Surface Area of Prisms and Cylinders

Find the surface area.
Let’s Begin S = L + 2B Write the formula.
1
1 B = bh
= L + 2 ( bh) 2
2 (area of triangle)
1
Surface Area of Prisms = 144 + 2( • 12 • 16) Substitution.
2
= 336 m 2 Simplify.
Examples The lateral area of the triangular

prism is 144 square meters. The
Answer
Find the lateral area and surface area of the prism. surface area of the triangular
prism is 336 square meters.

Your Turn!
4 cm 34 cm

Surface Area of Prisms
21 cm
A. Find the lateral area and the surface area of the
Find the lateral area Find the surface area rectangular prism.
L = Ph S = L + 2B
= (2ℓ + 2w)(h) = L + 2ℓw

= (2 • 34 + 2 • 21)(4) = 440 + 2(34)(21)
= 440 cm 2 = 1868 cm 2
The lateral area is 440
square centimeters. The
Answer
surface area is 1868 square A. lateral area, 152 in ; surface area, 292 in 2
2
centimeters. B. lateral area, 182 in ; surface area, 322 in 2
2
2
C. lateral area, 304 in ; surface area, 444 in 2
2
D. lateral area, 364 in ; surface area, 560 in 2
Answer

12 m 16 m B. Find the lateral area and the surface area of the
triangular prism.

20 m 3 m
The lateral area is made up of bases that are not
parallel.

Find the lateral area
L = Ph Write the formula.
2
A. lateral area, 19 ft ; surface area, 31 ft 2
P is perimeter of the B. lateral area, 61 ft ; surface area, 96 ft 2
2
= (12 + 16 + 20)(3) triangular base. h is C. lateral area, 84 ft ; surface area, 96 ft 2
2
the height of the prism. D. lateral area, 96 ft ; surface area, 108 ft 2
2
= 144 m 2 Simplify.
Answer

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