Question

Will mark brainliest

Answer 1

Answer:

1.

Anya could find out her volume by multiplying 1.5*1.5*4 and then subracting that from 11*8.5.

Terrence could find out his volume by multiplying 3*3*4 and then subtracting that from 11*8.5

Anya's suggestion would maker a larger volume.

There can be 2 different volumes because someone might cut out more than the other person.

2.

I think there's something missing from this question.

Answer 2

Answer:

1. Anya's suggestion

2. Length is always positive

Step-by-step explanation:

Volume = length × width × height

1.

Volumes:

Anya's approach

1.5 is the height of the box

Since 2 squares are cut, the dimensions of the base reduce be 2×1.5 = 3

Volume = (11 - 3) × (8.5 - 3) × 1.5

= 55 in³

Terrence's approach

3 is the height of the box

Since 2 squares are cut, the dimensions of the base reduce be 2×3 = 6

Volume = (11 - 6) × (8.5 - 6) × 3

= 37.5 in³

2.

Dimensions of the base are:

(8.5-2x) × (11 - 2x)

Since length cannot be negative:

x > 0

8.5 - 2x > 0

2x < 8.5

x < 4.25

11 - 2x > 0

x < 5.5

The set of values of x which satisfies all is:

0 < x < 4.25