Question

What is the volume of this composite solid?
the figure consists of 2 solid shapes which resemble bricks connected at one corner, forming a right angle there. These shapes are congruent and have a length of 7 inches, a width of 8 inches, and a height of 7 inches. Filling the corner formed by the right angle is a three-sided figure whose vertex fits into the right angle. The base of this figure is straight and connects the other 2 vertices of the bricks, which are at the outside of the right angle.

A. 588 cubic inches
B. 784 cubic inches
c.915 cubic inches
d. 980 cubic inc

Answer 1

First thought is find the volume of the rectangular prism, and double it.

then figure out the volume of the triangular shape.

Answer 2

Ok

Answer 3

the vol of the triangular piece looks like ½ of the other pieces.

Answer 4

So what be the equation?

Answer 5

volume of a "box" ?

Answer 6

So how would I solve it? Like uh can you show me the equation?

Answer 7

volume= length * width * height

Answer 8

or in general, area of the base * height

Answer 9

7*7*8 = 392

7*7*8 = 392

8*7/2=28

so 392+392+28=812in3??

Answer 10

ok on the first two.

for the last part, you have a triangular prism. It looks like if we put two of them together you get a whole block. Its volume is ½ of a block (and a block is 392)

Answer 11

the other way to do the triangular prism