Question

21. The length, width, and height of a rectangular prism can be represented by the expressions (x + 3),

(x + 7) and (x-1). Write an expression to represent the Volume of the prism.

Answer 1

⇒The formula to calculate the Volume of a rectangular prism is V=
`L*W*H`

where L is the length, W is the width and H is the height.

To find the expression of the volume plug in the values given in the equation I provided above and simplify.

⇒It is given that

L=(x+3)

W=(x+7)

H=(x-1)

`V=(x+3)(x+7)(x-1)\\V=(x^(2) +7x+3x+21)(x-1)\\\\V=(x^(2) +10x+21)(x-1)\\V=-1(x^(3) +10x^(2) +21x)\\V= - x^(3) -10x^(2) -21x`