Question

After all of this organizing, Wren decides she also needs more storage for her soccer equipment. Her current storage box measures 1 foot long by 2 feet wide by 2 feet high. She realizes she needs to replace it with a box with 12 cubic feet of storage, so she doubles the width.
a. Will she achieve her goal if she does this? Why or why not?
b. If she wants to keep the height the same, what could the other dimensions be for a 12-cubic-foot storage box?
c. If she uses the dimensions in part (b), what is the area of the new storage box’s floor?
d. How has the area of the bottom in her new storage box changed? Explain how you know.

Answer 1

Answer:

A. No.

B. Triple the length

C. 6 Square feet

D. It has increased 3 times

Step-by-step explanation:

A. Because doubling the wide (2 ft) equals 4ft.

4 x 2 x 1 = 8 cubic feet. Still not enough to be 12 cubic feet.

B. By tripling the length (1 ft), it would be 3 feet.

3x2x2 = 12 cubic feet

C. 3x2 = 6 square feet

D. Before it used to be 2 square feet, now it is 6.

Three times two.