**Q: If 20 solid gumballs with diameter 1 inch are placed inside a hollow sphere of diameter 6 inches, how much empty space is there in the larger sphere?**

Answer:

Explanation:

**Q: If 20 solid gumballs with diameter 1 inch are placed inside a hollow sphere of diameter 6 inches, how much empty space is there in the larger sphere?**

Answer:

Explanation:

Highly Effective Headline!

Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.

Answer: 14,137

Explanation: Use the formula for the volume of a cylinder, with r = 15 and h = 20. Round to the nearest whole number.

Highly Effective Headline!

**Q: What is the maximum number of boxes with dimensions 4”x5”x8” that can be packed into one large box with dimensions 20”x20”x24”?**

Answer: 60

Explanation: First, decide that a whole number of small boxes will entirely fill the large box. To do this, look at the dimensions and match them. 4″ fits into 20″ five times. 5″ fits into 20″ four times. 8″ fits into 24″ three times. That means, you’ll get five rows of small boxes, four boxes per row, and three layers deep. So, the quickest way to get the answer is to multiply 5x4x3 = 60.

BUT if you don’t notice that, just do (large volume)/(small volume).

Large volume = 20x20x24 = 9600

Small volume = 4x5x8 = 160

(large volume)/(small volume) = 9600/160 = 60

Highly Effective Headline!

**Q: Two rectangular prisms have the same volume. Prism 1 has dimensions 4 ft, 5 ft, and 7 ft. Prism 2 has dimensions 14 ft, 4 ft, and x ft. What is the value of x?**

Answer: 2.5

Explanation: Volume of a rectangular prism = (L)(W)(H)

Volume 1 = (4)(5)(7) = 140

Volume 2 = (14)(4)(x) = 56x

Since the volumes are equal, 56x = 140. x = 2.5

Highly Effective Headline!