Question

Ilhan arranges 8x of similar cuboids. Each cuboid measured (2x - 1) cm length, 4x cm height and (x-10) cm width. Calculate the total volume, in cm', of all the cuboids.​

Answer 1

The total volume is 64x^4 - 672x^3 + 320x^2 cubic cm.

Explanation:

Volume of a cuboid: V = lwh

Solve for the volume of 1 cuboid

Given:

l = 2x - 1

w = x - 10

h = 4x

Solve

V = (2x - 1)(x-10)(4x)

V = (2x² - 20x - x + 10)(4x)

V = (2x² - 21x + 10)(4x)

V = (8x³ - 84x² + 40x) cubic cm

Since there are 8x similar cuboids then we can multiply that by the volume of 1 cuboid and solve for the total volume.

Total volume = 8x (8x³ - 84x² + 40x )

Total volume =
`64x^4 - 672x^3 + 320x^2` cubic cm