Question

6TH GRADE MATH: Angel will construct a box in the shape of a rectangular prism. The base area of the box will be 15 square inches, and its volume must be at least 285 public inches. Which inequality represents all the possible heights in inches, h, of Angel's box?

A. h ≥ 28
B. h > 19
C. h < 28
D. h ≥ 19

Answer 1

C

Explanation:

if h<28

• its area= 28×28 = 784, but it is greater than 15 sq inches
• Its volume = 28×28×28 = 21952, but it is greater than 285 cubic inches

hence h must be less than 28 (h<28)

And not greater than √15 ( h<√15)

Thanx