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

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 class=

Respuesta :

9514 1404 393

Answer:

  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