Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the largest base is B=26cm. The side of the smaller base is b=14cm and the lateral edge is a=13cm.

Jemma is wrapping a pyramid-shaped gift for her brother. The package has a rectangular base with sides of 9 and 6.5 inches and is 7 inches tall. The slant height to the 6.5-inch side of the base is 8.1 inches, and the slant height to the 9-inch side of the base is 7.7 inches. 7.7 in 8.1 in 6.5 in 9 in 1. What is the surface area of the pyramid? 2. Allowing for 20% overage, how much wrapping paper does Jemma need? 3. A roll of wrapping paper costs $5.25 and covers 288 square inches. Rounded up to the nearest whole roll, how many rolls should Jemma purchase, and how much will it cost?

Arectangle is 12 cm long and 9 cm wide. Calculate the length of a diagonal.

The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance between the ball and the rim in a shot in which the ball goes exactly in the center of the rim? Show your work.

A roof is being covered with parallelogram shaped shingles.  The base of each parallelogram is 0.05m and the height of each is 0.06m.  If the roof will take 120 parallelograms to complete and the cost of building materials is $0.05 / cm2, how much will it cost to complete the roof?