Question

To find the volume of a rectangular prism, Harris multiplies the area of the base times the height. The area of the base is (x + 4) square inches for some value of x. The height is (2x + 3) inches. What is the volume, in cubic inches, of the rectangular prism? A2x² +12x

B2x² +11x +12
C2^2x + 7x+12
D11x​

Answer 1

The correct answer is option B: 2x^2 + 11x + 12 cubic inches

Explanation:

The volume of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width (or base), and h is the height of the prism.

Given that the area of the base is (x + 4) square inches and the height is (2x + 3) inches, we can substitute these values into the formula to find the volume:

V = (x + 4)(2x + 3)

Now, we can multiply the binomials using the distributive property:

V = 2x^2 + 3x + 8x + 12

V = 2x^2 + 11x + 12

So, the correct answer is option B: 2x^2 + 11x + 12 cubic inches.