A cuboid with a volume of 912cm^3 has the dimensions 4 cm, (x + 2) cm and (x + 9) cm. Find an equation in terms of x and solve to find the dimension.

912 = 4(x+2)(x+9)228 = (x+2)(x+9)228 = x2 + 11x + 180 = x2 + 11x -210using the quadratic formula we obtain x = -10 or x = 21As dimensions must be positive; x must equal 21Hence; the dimensions are 4, (21+2), (21+9) which implies dimensions of 4cmx23cmx30cm

CR
Answered by Carys R. Maths tutor

5507 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

write (x+2)(x+3)(x+5) in the form ax^3+bx^2+cx+d


How does Pythagoras Theorem work?


What is rationalising a fraction?


Find the coordinates where the curve f(X)= X^2+X-6 touches the x axis using factorisation.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences