Question

The volume of the prism is 900 cubic centimeters. The height of the prism is 15 centimeters and the height of the triangular base is 10 centimeters. What is the length of edge FC?

Answer 1

Answer:

12. i just took the test

Step-by-step explanation:

Answer 2

The length of FC = b = 12 cm of the prism having volume of 900 cubic centimeters and a height of 15 centimeters.

What is a triangular prism?

A triangular prism is a three-dimensional polyhedron, made up of two triangular faces and three rectangular faces

The volume of prism is given along with height and height of triangular base. WE need to find the length of base.

$V= B\times h$

where

$B= area\ of \ base = \dfrac{1}{2} *\times b \times h$

$V= ( \dfrac{1}{2} \times b \times h) \times h$

$900= ( \dfrac{1}{2} \times b \times 10) \times 15$

$1800 = b\times 150$

$b= \dfrac{1800}{150}$

b= 12 cm

So the length of FC = b = 12 cm

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