15.9k views
10 votes
REASONING A rectangular box has dimensions of x inches by (x+5) inches by (x−2) inches. The volume of the box is 30x cubic inches. Find the dimensions of the box. Write the dimensions in ascending order.

REASONING A rectangular box has dimensions of x inches by (x+5) inches by (x−2) inches-example-1
User Isundil
by
5.6k points

1 Answer

4 votes
V= 30x in^3 = (x) * (x+5) * (x+2)
Divide both sides by x

30= (x+5)(x-2)
30=x^2+3x-10
0=x^2+3x-40
0=(x+8)(x-5).

X=-8,5

Box is 3x5x10 inches
User Harsh Jatinder
by
7.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.