Name: _____________________________________
Class Period: ___________
Surface Area Word Problems-Guided Practice-8.7B
1. A library has an aquarium in the shape of a rectangular prism. The base is 6 ft by 2.5 ft.
The height is 4 ft. How many square feet of glass was used to build the enclosed
aquarium?
2. Clint is covering the sides and top of a box that is .75 feet wide, 13 inches long and 2
inches high with material. How many square inches of material will Clint need?
3. The school is painting their two rectangular shaped gymnasiums which are each is 45 ft
long, 30 ft wide, and 14 ft high. The school is painting the four walls and the ceiling of
each gym. Find the area of the painted parts of the two gyms.
4. You are frosting a circular cake that has three layers. Each layer has a 5 inch diameter
and is 2 inches tall. You frost in between each layer and the exposed surface of the cake,
excluding the bottom. To the nearest square inch, what is the total area that you frost?
5. Randy wants to build an enclosed clear plastic case that is shaped like a triangular prism
to display his trophy. The bases of the prism are right triangles. The new case will look
like the diagram below, but it will be three times the height of the prism shown in the
diagram. What is the total surface area of the plastic case?
Name: _____________________________________
Class Period: ___________
Surface Area Word Problems-Homework-8.7B
1. A daycare has an aquarium in the shape of a rectangular prism. The base is 4 ft by 3.5 ft.
The height is 5 ft. How many square feet of glass was used to build the enclosed
aquarium?
2. Travis is covering the sides and top of a box that is 12 inches wide, 15 inches long and
.25 feet high with material. How many square inches of material will Travis need?
3. The local YMCA is painting their three rectangular shaped gymnasiums which are each is
35 ft long, 40 ft wide, and 16 ft high. The YMCA is painting the four walls and the ceiling
of each gym. Find the area of the painted parts of the three gyms.
4. You are frosting a circular cake that has two layers. Each layer has a 6 inch diameter and
is 1.5 inches tall. You frost in between each layer and the exposed surface of the cake,
excluding the bottom. To the nearest square inch, what is the total area that you frost?
5. Ryan wants to build an enclosed clear plastic case that is shaped like a triangular prism
to display his trophies. The bases of the prism are right triangles. The new case will look
like the diagram below, but it will be 1/2 the height of the prism shown in the diagram.
What is the total surface area of the plastic case?