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telo118 [61]
2 years ago
15

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 inc

hes. 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
Mathematics
1 answer:
guajiro [1.7K]2 years ago
3 0

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 =l\times b\times h

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

V_1=8\times 15\times 6=720

Volume of triangular prism =Bh

Where, B is base area and h is height.

Area of triangular base is

B=\dfrac{1}{2}\times 8\times 3=12

So, volume of triangular prism is

V_2=12\times 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.

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