Asculptor is planning to make two triangular prisms out of steel. the sculptor will use ∆abc for the base of one prism and ∆def the base of the other prism. is ∆abc similar to ∆def? explain. a sculptor is planning to make two triangular prisms out of steel. the sculptor will use ∆abc for the base of one prism and ∆def the base of the other prism. suppose the sculptor makes both prisms with the same height. which prism will have a greater volume? how many times greater? show your work. (picture below)

The volume prism with base DEF is 1.44 times greater that volume prism with base ABC.

Step-by-step explanation:

In triangle ABC and DEF,

              (Given)

By SAS rule of similarity,

Therefore ∆ABC similar to ∆DEF.

Let the height of both prism are same, i.e., h.

Area of prism is

Therefore the volume prism with base DEF is 1.44 times greater that volume prism with base ABC.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d