Question

Kawika is a woodworker, and he carves a block in the shape of a rectangular prism. What is the total surface area of the block

Answer 1

Surface Area of a Right Traingular Prism is = bh + L(S1 + S2 + h)

from the question given

h = 5,

S1 = 12 = b

S2 = 13

L =10

= bh + L(S1 + S2 + h)

= 12(5) + 10(12 + 13 + 5)

= 60 + 10(30)

=60 + 300

=360

From the shape

The Triangle side Area = 1/2 X B X H

=1/2 X12 X 5 = 30

we have two faces of the triangle = 2x 30 = 60

For the Top side = 10 X 13 = 130

for the base/floor = 12 x 10 = 120

for the back end side = 5 x 10 = 50

Total = 60 + 130 + 120 +50

=360