A regtangular prism has a base w/ side lengths x & x+3 & height 2x

Question

 

Find the area and volume?

Answer 1

A rectangular area formula  = 2(l × w) + 2 (L × h) + 2 (w × h)

where l = lenght, w = width and h = height.

Here base(w) = x, lenghts = x + 3 and height = 2x

The area is A = 2[(x + 3) × (x)] + 2 [(x + 3) × (2x)] + 2 [(x) × (2x)]

A = 2[x² + 3x] + 2 [2x² + 6x] + 2 (2x²)

A = 2x² + 6x + 4x² + 12x + 4x²

A = 10x² + 18x

A rectangular volume formula V = L x W x H

V = (x + 3) × (x) × (2x)

V = (x + 3) × (2x²)

V = 2x³ + 6x²

Therefore area A = 10x² + 18x and volume V = 2x³ + 6x²