Question

The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base? 15x + + 15x + + 15 + + 15 + +

Answer 1

Answer: c

Explanation:

Answer 2

`Base (B) = /frac{15x² + 1 + 2}{x}`

Explanation:

==>Given:

Dimensions of a rectangular prism are expressed as follow:

Volume (V) = 15x² + x + 2

Height (h) = x²

==>Required:

Expression of the Base area (B)

==>Solution:

Volume (V) = Base (B) × Height (h)

15x² + x + 2 = B × x²

Divide both sides by x²

`(15x² + x + 2)/(x²) = B</p><p>[tex]Base (B) = /frac{15x² + 1 + 2}{x}`