Find the total surface area of this triangular prism.

The surface area of the prism is 144cm²

Step-by-step explanation:

First of all we need to calculate the area of the triangle

a = area of triangle

a = (8 cm * 6 cm) / 2

a = 48cm² / 2

a = 24cm²

Now we have to calculate the 3 areas of the rectangles

a1 = 4cm * 10cm

a1 = 40cm²

a2 = 4cm * 8cm

a2 = 32cm²

a3 = 4cm *6cm

a3 = 24cm²

Now we must add all the calculated areas and the triangle 2 times

a1 + a2 + a3 + 2a =

40cm² + 32cm² + 24cm² + 2 * 24cm²

144cm²

The surface area of the prism is 144cm²

answer:   c ?

step-by-step explanation:

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.