100 write and simplify a polynomial expression for the volume of each figure.

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Step-by-step explanation:

The picture #1:

It's a rectangular prism. The formula of a volume of a rectangular prism:

l - length

w - width

h - height

We have

Substitute:

Use the distributive property a(b + c) = ab + ac

and the FOIL: (a + b)(c + d) = ac + ad + bc + bd

The picture #2:

It's a cone. The fomula of a volume of a cone:

r - radius

h - height

We have:

Substitute:

Use (a + b)² = a² + 2ab + b²

Use the distributive property:

The picture #3:

It's a pyramid with a rectangle in the base. The formula of a volume of a rectangular pyramid:

a, b - edge of a base

h - height

We have

Substitute:

Use the distributive property and the FOIL.