Question

1. find the volume of the solids below.

Explanation:

Step1: Recall rectangular prism volume formula

Volume $V = l \times w \times h$, where $l=2x+5$, $w=3x$, $h=x$

Step2: Substitute values into formula

$V = (2x+5) \times 3x \times x$

Step3: Multiply the monomials first

$3x \times x = 3x^2$, so $V = (2x+5) \times 3x^2$

Step4: Distribute $3x^2$ to each term

$V = 2x \times 3x^2 + 5 \times 3x^2$

Step5: Simplify each product

$2x \times 3x^2 = 6x^3$, $5 \times 3x^2 = 15x^2$

Answer:

$6x^3 + 15x^2$