Question

what is the volume? 14 cm 16 cm 12 cm cubic centimeters submit

Explanation:

Step1: Identify the shape (triangular prism)

The figure is a triangular prism. The formula for the volume of a triangular prism is $V = \frac{1}{2} \times base \times height \times length$. Here, the triangular base has a base of 16 cm and height of 14 cm, and the length of the prism is 12 cm.

Step2: Calculate the area of the triangular base

First, find the area of the triangular base. The formula for the area of a triangle is $A = \frac{1}{2} \times b \times h$. Substituting $b = 16$ cm and $h = 14$ cm, we get:
$A = \frac{1}{2} \times 16 \times 14$
$A = 8 \times 14$
$A = 112$ square cm.

Step3: Calculate the volume of the prism

Now, use the volume formula for the prism. The length of the prism (the distance along the direction perpendicular to the triangular base) is 12 cm. So, $V = A \times length$. Substituting $A = 112$ and $length = 12$:
$V = 112 \times 12$
$V = 1344$ cubic cm.

Answer:

1344