Question

Chiyo has a toolbox with the shape below. 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. Which statements are true about the toolbox? Select two options. The shape can be broken into a rectangular prism and a triangular prism. The shape can be broken into a rectangular prism and a rectangular pyramid. The formula for the volume of this figure is V = B h + one-third B h. The volume of the toolbox is 840 inches cubed The volume of the toolbox is 900 inches cubed

Answer 1

a and e

Explanation:

Answer 2

Option A and E.

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
`=l* b* h`

Where, l is length , b is width and h is height.

`V_1=8* 15* 6=720`

Volume of triangular prism
`=Bh`

Where, B is base area and h is height.

Area of triangular base is

`B=(1)/(2)* 8* 3=12`

So, volume of triangular prism is

`V_2=12* 15`

`V_2=180`

So, volume of tool box is

`V=V_1+V_2=720+180=900\text{ inches cubed}`

Therefore, the correct option is E.