A box in the shape of a square-based prism has a volume of 2000 cm3 and a height of 15 cm. Determine the side length of the square base, to the nearest tenth of a centimetre

Answer 1

V =2000 cm^3 height = 15 cm

V= hb^2 = 2000

b^2 = 2000/15 = 400/3

b = sqr(400/3) = 20/sqr3

= 20sqr3/3

= about 11.55 cm

rounded to nearest 10th

= 11.6 cm