Answer:
Option A and E.
Step-by-step explanation:
It is given that Chiyo has a toolbox with the shape of a rectangular prism with a length of 8 inches, width of 15 inches, and height of 6 inches. A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.
The shape can be broken into a rectangular prism and a triangular prism.
So, option A is correct.
Volume of rectangular prism [tex]=l\times b\times h[/tex]
Where, l is length , b is width and h is height.
[tex]V_1=8\times 15\times 6=720[/tex]
Volume of triangular prism [tex]=Bh[/tex]
Where, B is base area and h is height.
Area of triangular base is
[tex]B=\dfrac{1}{2}\times 8\times 3=12[/tex]
So, volume of triangular prism is
[tex]V_2=12\times 15[/tex]
[tex]V_2=180[/tex]
So, volume of tool box is
[tex]V=V_1+V_2=720+180=900\text{ inches cubed}[/tex]
Therefore, the correct option is E.
