Question

A rectangular box is 3 feet wide, 6 feet long, and 4 feet tall.

Inside the box, Phil placed a triangular prism that is 3 feet tall,
and has a base 2 feet wide with a height of 5 feet. If he places
another triangular prism of the same size in the box, how
much empty space will there be in the box?
can so body help me pls a need the work to

Answer 1

To find how much space remains in the box, you will find the total space of the box by finding the volume of it. Then you will subtract the volumes of the 2 triangular prisms. The remaining would be the extra space.

Volume of Rectangular Prism - 2(Volume of the Triangular Prism)
Bh - Bh
(3 x 6 x 4) - 2 [(1/2 x 2 x 5) x 3]
72 cubic feet - 30 cubic feet
42 cubic feet

There are 42 cubic feet of space remaining.