Question

A right triangular prism and its net are shown below.
(All lengths are in centimeters.)

Answer 1

Below in bold.

Explanation:

a) The rectangle in the middle of the net is 10 cm long.

A = 8

B = 3

C = 6

D = 10

b) Surface area

= 3*6 + 3*10 + 3*8 + 2 * 1/2 + 8 * 6

= 18 + 30 + 24 + 48

= 120 cm^2

Answer 2

Given:

• A triangular prism and its net.

To find:

• Side lengths for the net.
• Surface area of the triangular prism.

Solution:

Side lengths for the net:

• A= 8 cm
• B= 3 cm
• C= 6 cm
• D= 10 cm

Surface area:

`sa = bh + ( b_(1) + b_(2) + b_(3))l`

`sa = 6(8) + (6 + 8 + 3) * 10`

`sa = 48 + (17)(10)`

`sa = 48 + 170`

`sa = 220 \: {cm}^(2)`