Question

Find the volume of the figure in cubic centimeters.

Answer 1

755.16 cm³

Explanation:

We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.

The volume of the bottom part is 12*4*14 = 672 cm³

For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is
`(√(3) )/(4) 4^(2)`, which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³

Add these 2 up to get 755.16 cm³ as our answer