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Mathematics

1 answer:

Tomtit [17]3 years ago

3 0

Answer:

The volume of the space outside the pyramid but inside the prism is 225 cubic centimeters.

Step-by-step explanation:

To find this, you subtract the volume of the pyramid from the volume of the rectangular prism.

The prism and pyramid's bases is 25 cm²

The pyramid's height is 12÷2 or 6 cm

The volume formula for a prism is l×w×h

The volume formula for a pyramid is $\frac{1}{3}$ ×b×h

The area of the prism is 5×5×12 or 300 cm³

The area of the pyramid is $\frac{1}{3} *25*6$ or 75 cm³

300 cm³-75 cm³=225 cm³

The volume outside the pyramid but inside the prism is 225 cm³.

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