Which calculation shows the volume of a triangular prism made from this net? A) (3 cm x 4 cm ÷ 2) x 3 cm
B) 3 cm x 4 cm x 5 cm
C) (3 cm x 4 cm ÷ 2) x 5 cm
D) 3 cm x 3 cm x 4 cm

9514 1404 393

  A)  (3 cm x 4 cm ÷ 2) x 3 cm

Step-by-step explanation:

The volume is the product of the area of the triangular bases and the distance between them.

Each right triangular base has a width of 3 cm and a height of 4 cm. Its area will be given by ...

  A = (1/2)bh

  A = (1/2)(3 cm)(4 cm) = (3 cm × 4 cm) ÷ 2

__

The distance between the triangular bases is marked at the left side of the diagram as 3 cm. So, the volume is ...

  V = Bh

  V = (3 cm × 4 cm ÷ 2) × 3 cm . . . . . matches choice A

16.80 times .20= 3.36

step-by-step explanation:

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45